SPS offers Masters in three streams, namely, Physics, Chemistry and Mathematics. The details of the courses under these programmes are available through the following respective links:
I. Courses for M.Sc. in Physics II. Courses for M.Sc. in Chemistry III. Courses for M.Sc. in Mathematics
I. Courses for M.S.c. in Physics
Semester I | Semester II |
Mathematical Physics I PS 417 (3 credits) | Quantum Mechanics IIPS 421 (3 credits) |
Classical Mechanics PS 412 (3 credits) | Statistical Mechanics PS 429 (3 credits) |
Quantum Mechanics I PS 413 (3 credits) | Electromagnetic Theory PS 423 (3 credits) |
Electronics PS 425 (2 credits) | Mathematical Physics II PS 428 (2 credits) |
Physics Lab I PS 415 (6 credits) | Relativistic Physics PS 424 (2 credits) |
Physics Lab II (Electronics) PS 426 (4 credits) | |
Semester III | Semester IV |
Computational Physics PS 427 (3 credits) | Elective I (3 credits) |
Condensed Matter Physics PS 511 (3 credits) | Elective II (3 credits) |
Subatomic Physics PS 512 (3 credits) | Elective III (3 credits) |
Atoms and Molecules PS 514 (3 credits) | Project (4 credits) PS 522 |
Physics Lab III PS 515 (6 credits) |
SEMESTER I
- Mathematical Physics I (3 credits) PS 417
- Classical Mechanics (3 credits) PS 412
- Quantum Mechanics I (3 credits) PS 413
- Electronics (2 credits) PS 425
- Physics Lab I (6 credits) PS 415
Total 17 credits
PS 417 Mathematical Physics I(3 credits)
Linear Vector Spaces
Linear vector spaces, dual space, inner product spaces. Linear operators, matrices for linear operators. Eigenvalues and eigenvectors. Similarity transformation, (matrix) diagonalization. Special matrices: Normal, Hermitian and Unitary matrices. Hilbert space.
Complex Analysis
Complex numbers and variables. Complex analyticity, Cauchy-Riemann conditions. Classification of singularities. Cauchy's theorem. Residues. Evaluation of definite integrals. Taylor and Laurent expansions. Analytic continuation, Gamma function, zeta function. Method of steepest descent.
Ordinary Differential Equations and Special Functions
Linear ordinary differential equations and their singularities. Sturm- Liouville problem, expansion in orthogonal functions. Series solution of second-order equations. Hypergeometric function and Bessel functions, classical polynomials. Fourier Series and Fourier Transform.
References:
- G.B. Arfken,Mathematical Methods for Physicists, Elsevier
- P. Dennery and A. Krzywicki,Mathematics for Physicists, Dover
- S.D. Joglekar,Mathematical Physics: Basics (Vol. I) and Advanced (Vol. II), Universities Press
- A.W. Joshi,Matrices and Tensors in Physics, New Age Publishers
- R.V. Churchill and J.W. Brown,Complex Variables and Applications, McGraw-Hill
- P.M. Morse and H. Feshbach,Methods of Theoretical Physics (Vol. I & II), Feshbach Publishing
- M.R. Spiegel,Complex Variables, McGraw-Hill
PS 412 Classical Mechanics(3 credits)
Lagrangian and Hamiltonian Formulations of Mechanics
Calculus of variations, Hamilton's principle of least action, Lagrange's equations of motion. Symmetries and conservation laws, Noether’s theorem. Hamilton's equations of motion. Phase plots, fixed points and their stabilities.
Two-Body Central Force Problem
Equation of motion and first integrals. Kepler problem. Classification of orbits. Satellites and inter-planetary orbits. Scattering in central force field.
Small Oscillations
Linearization of equations of motion. Normal coordinates. Damped and forced oscillations. Anharmonic terms, perturbation theory.
Rigid body dynamics
Rotational motion, moments of inertia, torque. Euler’s theorem, Euler angles. Symmetric top. Gyroscopes and their applications.
Hamiltonian Mechanics
Canonical transformations. Poisson brackets. Hamilton-Jacobi theory, action-angle variables. Integrable system. Perturbation theory. Introduction to chaotic dynamics.
References:
- H. Goldstein, C.P. Poole and J.F. Safko, Classical Mechanics, Addison-Wesley
- N.C. Rana and P.S. Joag,Classical Mechanics, Tata McGraw-Hill
- J.V. Jose and E.J. Saletan,Classical Dynamics: A Contemporary Approach, Cambridge University Press
- L.D. Landau and E.M. Lifshitz,Mechanics, Butterworth-Heinemann
- I.C. Percival and D. Richards,Introduction to Dynamics, Cambridge University Press
- R.D. Gregory,Classical Mechanics, Cambridge University Press
PS 413 Quantum Mechanics I(3 credits)
Introduction
Review of empirical basis, wave-particle duality, electron diffraction. Notion of state vector. Probability interpretation. Review and relations between approaches of Heisenberg-Born-Jordan, Schroedinger and Dirac.
Structure of Quantum Mechanics
Operators and observables, operators as matrices, significance of eigenvalues and eigenfunctions. Commutation relations. Uncertainty principle. Measurement in quantum theory.
Quantum Dynamics
Time-dependent Schrödinger equation. Stationary states and their significance. Time-independent Schrödinger equation.
Schrödinger Equation for one-dimensional systems
Free-particle, periodic boundary condition. Wave packets. Square well potential. Numerical solution of Schroedinger equation. Transmission through a potential barrier. Gamow theory of alpha-decay. Field induced ionization, Schottky barrier. Simple harmonic oscillator: solution by wave equation and operator method. Charged particle in a uniform magnetic field. Coherent states.
Spherically Symmetric Potentials
Separation of variables in spherical polar coordinates. Orbital angular momentum, parity. Spherical harmonics. Free particle in spherical polar coordinates. Spherical well. Hydrogen atom. Numerical solution of the radial equation in arbitrary potential.
References:
- C. Cohen-Tannoudji, B. Diu and F. Laloe,Quantum Mechanics (Vol. I), Wiley
- L.I. Schiff,Quantum Mechanics, McGraw-Hill
- R. Shankar,Principles of Quantum Mechanics, Springer
- E. Merzbacher,Quantum Mechanics, John Wiley and Sons
- A. Messiah, Quantum Mechanics (Vol. I), Dover
- A. Das, Lectures on Quantum Mechanics, Hindustan Book Agency
- R.P. Feynman, Feynman Lectures on Physics (Vol. III), Addison-Wesley
- A. Levi, Applied Quantum Mechanics, Cambridge Univ Press
PS 425 Electronics(2 credits)
Introduction
Survey of network theorems and network analysis, AC and DC bridges, transistors at low and high frequencies, FET.
Electronic Devices
General properties of semiconductors. Schottky diode, p-n junction, Diodes, light-emitting diodes, photo-diodes, negative-resistance devices, p-n-p-n characteristics, transistors (FET, MoSFET, bipolar).
Basic differential amplifier circuit, operational amplifier - characteristics and applications, simple analog computer, analog integrated circuits.
Digital Electronics
Gates, combinational and sequential digital systems, flip-flops, counters, multi-channel analyzer.
References:
- P. Horowitz and W. Hill, The Art of Electronics, Cambridge University Press
- J. Millman and A. Grabel, Microelectronics, McGraw-Hill
- J.J. Cathey,Schaum's Outline of Electronic Devices and Circuits, McGraw-Hill
- M. Forrest,Electronic Sensor Circuits and Projects, Master Publishing Inc
- W. Kleitz,Digital Electronics: A Practical Approach, Prentice Hall
- J.H. Moore, C.C. Davis and M.A. Coplan, Building Scientific Apparatus, Cambridge University Press
PS 415 Physics Laboratory I(6 credits)
- Error analysis
- G.M Counter
- Experiments with microwaves
- Resistivity of semiconductors
- Work function of Tungsten
- Hall effect
- Thermal conductivity of Teflon
- Susceptibility of Gadolinium
- Transmission line, propagation of mechanical and EM waves
- Measurement of e/m using Thomson method
- Measurement of Planck’s constant using photoelectric effect
- Michelson interferometer
- Millikan oil-drop experiment
- Frank-Hertz experiment
- Experiment using semiconductor laser
Note:Each student is required to perform at least 8 of the above experiments.
SEMESTER II
- Quantum Mechanics II (3 credits) PS 421
- Statistical Mechanics (3 credits) PS 429
- Electromagnetic Theory (3 credits) PS 423
- Mathematical Physics II (2 credits) PS 428
- Relativistic Physics (2 credits) PS 424
- Physics Laboratory II (Electronics) (4 credits)
PS 426
Total 17 credits
PS 421 Quantum Mechanics II(3 credits)
Symmetry in Quantum Mechanics
Symmetry operations and unitary transformations. Conservation laws. Space and time translations; rotation. Discrete symmetries: Space inversion, time reversal and charge conjugation. Symmetry and degeneracy.
Angular momentum
Rotation operator, generators of infinitesimal rotation, angular momentum algebra, eigenvalues of J^{2}and J_{z}. Pauli matrices and spinors. Addition of angular momenta.
Identical particles
Indistinguishability, symmetric and anti-symmetric wave functions, incorporation of spin, Slater determinants, Pauli exclusion principle.
Time-independent Approximation Methods
Non-degenerate and degenerate perturbation theory. Stark effect, Zeeman effect and other examples. Variational methods. WKB approximation. Tunnelling. Numerical perturbation theory, comparison with analytical results.
Time-dependent Problems
Schrödinger and Heisenberg pictures. Time-dependent perturbation theory. Transition probability calculations, Fermi’s golden rule. Adiabatic and sudden approximations. Beta decay. Interaction of radiation with matter. Einstein A and B coefficients, introduction to the quantization of electromagnetic field.
Scattering Theory
Differential scattering cross-section, scattering of a wave packet, integral equation for the scattering amplitude, Born approximation, method of partial waves, low energy scattering and bound states, resonance scattering.
References:
Same as in Quantum Mechanics I plus
- C. Cohen-Tannoudji, B. Diu and F. Laloe, Quantum Mechanics(Vol. II), Wiley
- A. Messiah, Quantum Mechanics(Vol.II), Dover
- S. Flügge, Practical Quantum Mechanics, Springer
- J. J. Sakurai, Modern Quantum Mechanics, Pearson
- K. Gottfried and T.-M. Yan, Quantum Mechanics: Fundamentals, Springer
PS 429 Statistical Mechanics(3 credits)
Elementary Probability Theory
Binomial, Poisson and Gaussian distributions. Central limit theorem.
Review of Thermodynamics
Extensive and intensive variables. Laws of thermodynamics. Legendre transformations and thermodynamic potentials. Maxwell relations. Applications of thermodynamics to (a) ideal gas, (b) magnetic material, and (c) dielectric material.
Formalism of Equilibrium Statistical Mechanics
Phase space, Liouville's theorem. Basic postulates of statistical mechanics. Microcanonical, canonical, grand canonical ensembles. Relation to thermodynamics. Fluctuations. Applications of various ensembles. Equation of state for a non-ideal gas, Van der Waals' equation of state. Meyer cluster expansion, virial coefficients. Ising model, mean field theory.
Quantum Statistics
Fermi-Dirac and Bose-Einstein statistics.
Ideal Bose gas, Debye theory of specific heat, properties of black-body radiation. Bose-Einstein condensation, experiments on atomic BEC, BEC in a harmonic potential.
Ideal Fermi gas. Properties of simple metals. Pauli paramagnetism. Electronic specific heat. White dwarf stars.
References:
- F. Reif,Fundamentals of Statistical and Thermal Physics, Levant
- K. Huang,Statistical Mechanics, Wiley
- R.K. Pathria,Statistical Mechanics, Elsevier
- D.A. McQuarrie,Statistical Mechanics, University Science Books
- S.K. Ma,Statistical Mechanics, World Scientific
- R.P. Feynman, Statistical Mechanics, Levant
- D. Choudhury and D. Stauffer, Principles of Equilibrium Statistical Mechanics, Wiley-VCH
PS 423 Electromagnetic Theory(3 credits)
Review of Electrostatics and Magnetostatics (2-3 weeks)
Coulomb’s law, action-at-a distance vs. concept of fields, Poisson and Laplace equations, formal solution for potential with Green's functions, boundary value problems; multipole expansion; Dielectrics, polarization of a medium; Biot-Savart law, differential equation for static magnetic field, vector potential, magnetic field from localized current distributions; Faraday's law of induction; energy densities of electric and magnetic fields.
Maxwell’s Equations
Maxwell’s equations in vacuum. Vector and Scalar potentials in electrodynamics, gauge invariance and gauge fixing, Coulomb and Lorenz gauges. Displacement current. Electromagnetic energy and momentum. Conservation laws. Inhomogeneous wave equation and its solutions using Green’s function method. Covariant formulation of Maxwell’s equations (brief discussion).
Electromagnetic Waves
Plane waves in a dielectric medium, reflection and refraction at dielectric interfaces. Frequency dispersion in dielectrics and metals. Dielectric constant and anomalous dispersion. Wave propagation in one dimension, group velocity. Metallic wave guides, boundary conditions at metallic surfaces, propagation modes in wave guides, resonant modes in cavities. Dielectric waveguides. Plasma oscillations.
Radiation
EM Field of a localized oscillating source. Fields and radiation in dipole and quadrupole approximations. Antenna; Radiation by moving charges, Lienard-Wiechert potentials, total power radiated by an accelerated charge, Lorentz formula.
References:
- D.J. Griffiths, Introduction to Electrodynamics, Prentice Hall
- J.D. Jackson,Classical Electrodynamics, Wiley
- A. Das, Lectures on Electromagnetism, Hindustan Book Agency
- J.R. Reitz, F.J. Milford and R.W. Christy,Foundations of Electromagnetic Theory, Addison-Wesley
- W.K.H. Panofsky and M. Phillips, Classical Electricity and Magnetism, Dover
- R.P. Feynman, Feynman Lectures on Physics (Vol. II), Addison-Wesley
- A. Zangwill, Modern Electrodynamics, Cambridge Univ Press
PS 428 Mathematical Physics II(2 credits)
Calculus of variations
Extremization problems (with and without constraints). Euler-Lagrange equations and Lagrange’s multipliers. Functional derivatives for real and complex fields (with applications in classical and quantum physics). Noether’s theorem.
Partial Differential Equations
Laplace and Poisson equation (with particular emphasis on solving boundary value problems in Electrostatics and Magnetostatics); Wave equation. Heat Equation. Green’s function approach. Separation of variables and solution in different coordinates.
Group Theory
Definition and properties. Discrete and continuous groups. Subgroups and cosets. Products of groups.
Matrix representation of a group. (Ir)reducible reprsentations. Characters. Representations of finite groups.
Examples of continuous groups, SO(3), SU(2) and SO(n) and SU(n). Generators of SU(2) and their algebra. Representations of SU(2).
References:
- P. Dennery and A. Krzywicki,Mathematics for Physicists, Dover
- S.D. Joglekar,Mathematical Physics: Advanced Topics (Vol. II), Universities Press
- P.M. Morse and H. Feshbach,Methods of Theoretical Physics (Vol. I & II), Feshbach Publishing
- A.W. Joshi,Matrices and Tensors in Physics, New Age Publishers
- W.-K. Tung, Group Theory in Physics, World Scientific
- A. Das and S. Okubo,Lie Groups and Lie Algebras for Physicists, Hindustan Book Agency
- I. Gelfand and S. Fomin, Calculus of Variations, Dover
- W. Yourgrau and S. Mandelstam, Variational Principles in Dynamics and Quantum Theory, Dover
PS 424 Relativistic Physics(2 credits)
Special Theory of Relativity
Motivation. Postulates of special theory of relativity. Lorentz transformation. Space-time diagram. Time dilation and length contraction. Addition of velocities. Doppler effect. Paradoxes.
Four-vectors, contra- and covariant vectors. Coordinate, velocity and momentum four-vectors.
Tensors. Electromagnetic field tensor. Maxwell's equations in tensor notation. Transformation of electromagnetic field. Relativistic dynamics of charged particles in electromagnetic field with special emphasis on particle accelerators. Relativistic Lagrangian of charged particles in electromagnetic fields.
Relativistic Quantum Mechanics
Klein-Gordon equation and its plane wave solution.
Dirac matrices. Dirac equation. Plane wave solutions, intrinsic spin and magnetic moment. Antiparticles.
Dirac equation for the hydrogen atom. Spin-orbit coupling and fine structure.
References:
- H. Goldstein C.P. Poole and J.F. Safko, Classical Mechanics, Addison-Wesley
- A.P. French, Special Relativity, W.W. Norton
- E.F. Taylor and J.A. Wheeler, Spacetime Physics: Introduction to Special Relativity, W.H. Freeman
- W. Rindler, Introduction to Special Relativity, Oxford University Press
- J.D. Jackson,Classical Electrodynamics, Wiley
- L. Schiff, Quantum Mechanics, McGraw-Hill
- B.H. Bransden and C.J. Joachain, Quantum Mechanics, Pearson
- D. Styer, Relativity for the Questioning Mind, Johns Hopkins Univ Press
PS 426 Physics Laboratory II(Electronics) (4 credits)
- Circuit analysis using Thevenin's theorem and Kirchhoff’s law.
- Characteristics of diode, BJT, FET, FET-switch
- Analysis of feedback circuits
- Differential amplifier and current mirror circuits
- Characteristics of OPAMP and Trigger circuit
- Digital electronics
SEMESTER III
- Computational Physics (3 credits) PS 427
- Condensed Matter Physics (3 credits) PS 511
- Subatomic Physics (3 credits) PS 512
- Atoms and Molecules (3 credits) PS 514
- Physics Lab III (6 credits) PS 515
Total 18 credits
PS 427 Computational Physics(3 credits)
Overview
Computer organization, hardware, software. Scientific programming in FORTRAN and/or C, C++. Introduction to Mathematica and/or Matlab
Numerical Techniques
Sorting, interpolation, extrapolation, regression, numerical integration, quadrature, random number generation, linear algebra and matrix manipulations, inversion, diagonalization, eigenvectors and eigenvalues, integration of initial-value problems, Euler, Runge-Kutta, and Verlet schemes, root searching, optimization.
Simulation Techniques
Monte Carlo methods, molecular dynamics, simulation methods for the Ising model and atomic fluids, simulation methods for quantum-mechanical problems, time-dependent Schrödinger equation. Langevin dynamics simulation.
References:
- V. Rajaraman, Computer Programming in Fortran 77, Prentice Hall
- W.H. Press, B.P. Flannery, S.A. Teukolsky and W.T. Vetterling, Numerical Recipes: The Art of Scientific Computing, Cambridge University Press
- H.M. Antia, Numerical Methods for Scientists and Engineers, Hindustan Book Agency
- D.W. Heermann, Computer Simulation Methods in Theoretical Physics, Springer
- H. Gould and J. Tobochnik, An Introduction to Computer Simulation Methods, Addison-Wesley
- J.M. Thijssen, Computational Physics, Cambridge University Press
PS 511 Condensed Matter Physics(3 credits)
Metals
Drude theory, DC conductivity, Hall effect and magneto-resistance, AC conductivity, thermal conductivity, thermo-electric effects, Fermi-Dirac distribution, thermal properties of an electron gas, Wiedemann-Franz law, critique of free-electron model.
Crystal Lattices
Bravais lattice, symmetry operations and classification of Bravais lattices, common crystal structures, reciprocal lattice, Brillouin zone, X-ray diffraction, Bragg's law, Von Laue's formulation, diffraction from non-crystalline systems.
Classification of Solids
Band classifications, covalent, molecular and ionic crystals, nature of bonding, cohesive energies, hydrogen bonding.
Electron States in Crystals
Periodic potential and Bloch's theorem, weak potential approximation, energy gaps, Fermi surface and Brillouin zones, Harrison construction, level density. Motion of electrons in optical lattices.
Electron Dynamics
Wave packets of Bloch electrons, semi-classical equations of motion, motion in static electric and magnetic fields, theory of holes.
Lattice Dynamics
Failure of the static lattice model, harmonic approximation, vibrations of a one-dimensional lattice, one-dimensional lattice with basis, models of three-dimensional lattices, quantization of vibrations, Einstein and Debye theories of specific heat, phonon density of states, neutron scattering.
Semiconductors
General properties and band structure, carrier statistics, impurities, intrinsic and extrinsic semiconductors, equilibrium fields and densities in junctions, drift and diffusion currents.
Magnetism
Diamagnetism, paramagnetism of insulators and metals, ferromagnetism, Curie-Weiss law, introduction to other types of magnetic order.
Superconductors
Phenomenology, review of basic properties, thermodynamics of superconductors, London's equation and Meissner effect, Type-I and Type-II superconductors.
References:
- C. Kittel,Introduction to Solid State Physics, Wiley
- N.W. Ashcroft and N.D. Mermin,Solid State Physics, Brooks/Cole
- J.M. Ziman,Principles of the Theory of Solids, Cambridge University Press
- A.J. Dekker,Solid State Physics, Macmillan
- G. Burns,Solid State Physics, Academic Press
- M.P. Marder,Condensed Matter Physics, Wiley
PS 512 Subatomic Physics(3 credits)
Nuclear Physics
Discovery of the nucleus, Rutherford scattering. Scattering cross-section, form factors. Kinematics of (non-)relativistic scattering. Properties of nuclei: size, mass, charge, angular momentum, magnetic moment, parity, quadrupole moment. Charge and mass distribution.
Mass defect, binding-energy statistics, Bethe-Weiszacker mass formula. Magic numbers, shell model, parity and magnetic moment.
Nuclear stability: alpha, beta and gamma decay. Tunnelling theory of alpha decay, Fermi theory of beta decay. Parity violation. Fission and fusion. Nuclear reaction.
Nuclear force. Nuclear reaction. Deuteron, properties of nuclear potentials. Yukawa's hypothesis.
Particle Physics
Discovery of elementary particles in cosmic rays. Muon, meson and strange particles. Isospin and strangeness.
Accelerators and detectors.
Quark hypothesis, flavour and colour. Meson and Baryon octets. Gellmann-Nishijima formula. Discovery of J/psi, charm quark. Families of leptons and quarks. Bottom and top quarks.
Gauge symmetry and fundamental forces. Weak interaction, W and Z bosons, Higgs mechanism and spontaneous symmetry breaking. Higgs particle. Gluons and strong interaction.
Neutrino oscillations, CP violation.
References:
- B.L. Cohen, Concepts of Nuclear Physics, Tata McGraw Hill
- W.N. Cottingham and D.A. Greenwood, An introduction to Nuclear Physics, Cambridge University Press
- I. Kaplan,Nuclear Physics, Addison-Wesley
- B.R. Martin, Nuclear and Particle Physics, Wiley
- A. Das and T. Ferbel, Introduction to Nuclear and Particle Physics, World Scientific
- B. Povh, K. Rith, C. Scholtz and F. Zetsche, Particles and Nuclei, Springer
- G.D. Coughlan and J.E. Dodd, The Ideas of Particle Physics, Cambridge University Press
- D. Griffiths, Introduction to Elementary Particles, Wiley
- D.H. Perkins,Introduction to High Energy Physics, Cambridge University Press
PS 514 Atoms and Molecules(3 credits)
Many-electron Atoms
Review of H and He atom, ground state and first excited state, quantum virial theorem. Determinantal wave function. Thomas-Fermi method, Hartree and Hartree-Fock method, density functional theory. Periodic table and atomic properties: ionization potential, electron affinity, Hund's rule.
Molecular Quantum Mechanics
Hydrogen molecular ion (numerical solution), hydrogen molecule, Heitler-London method, molecular orbital, Born-Oppenheimer approximation, bonding, directed valence. LCAO.
Atomic and Molecular Spectroscopy
Fine and hyperfine structure of atoms, electronic, vibrational and rotational spectra for diatomic molecules, role of symmetry, selection rules, term schemes, applications to electronic and vibrational problems. Raman spectroscopy.
Second Quantization
Basis sets for identical-particle systems, number space representation, creation and annihilation operators, representation of dynamical operators and the Hamiltonian, simple applications.
Interaction of Atoms with Radiation
Atoms in an electromagnetic field, absorption and induced emission, spontaneous emission and line-width, Einstein A and B coefficients, density matrix formalism, two-level atoms in a radiation field.
References:
- B.H. Bransden and C.J. Joachain, Physics of Atoms and Molecules, Pearson
- I.N. Levine,Quantum Chemistry, Prentice Hall
- L.D. Landau and E.M. Lifshitz, Quantum Mechanics, Pergamon Press
- M. Karplus and R.N. Porter,Atoms and Molecules: An Introduction for Students of Physical Chemistry, W.A. Benjamin
- P.W. Atkins and R.S. Friedman, Molecular Quantum Mechanics, Oxford University Press
- W.A. Harrison, Applied Quantum Mechanics, World Scientific
- C.J. Foot, Atomic Physics, Oxford Univ Press
- G. Woodgate, Elementary Atomic Structure, Oxford Univ Press
PS 515 Physics Laboratory III(6 credits)
- Electron spin resonance
- Faraday rotation and Kerr effect
- Study of interfacial tension and viscosity of liquid
- Reaction kinetics by spectrometer and conductivity
- Experiment with Raman spectrometer
- Propagation of ultrasonic waves in liquid and solid
- Experiment with solar cell
- Dielectric constant of ice and ferroelectric transition of BaTiO_{3}
- Zeeman effect
- Study of superconducting properties in high-T_{c}superconductor
- Scanning tunnelling microscopy
- Experiment with liquid using UV spectroscopy
Note:Each student is required to perform at least 8 of the above experiments.
SEMESTER IV
- PS 522 Project (4 credits)
(There will be mid-term evaluation of the project)
In addition to the Project, a student has to choose any three among the following electives, each of 3 credits. Courses actually offered in a given semester will depend on the interests of the students and on the availability of instructors.
- Advanced Statistical Mechanics (PS 520)
- Astrophysics, Gravitation & Cosmology (PS 523)
- Quantum Field Theory (PS 524)
- Biophysics (PS 525)
- Laser Physics (PS 526)
- Advanced Condensed Matter Physics (PS 527)
- Nonlinear Dynamics (PS 528)
- Theory of Soft Condensed Matter (PS 529)
- Modern Experiments of Physics (PS 530)
Total 13 credits
PS 520 Advanced Statistical Mechanics
(3 credits)
Phase Transitions and Critical Phenomena
Thermodynamics of phase transitions, metastable states, Van der Waals' equation of state, coexistence of phases, Landau theory, critical phenomena at second-order phase transitions, spatial and temporal fluctuations, scaling hypothesis, critical exponents, universality classes.
Mean Field Theory
Ising model, mean-field theory, exact solution in one dimension, renormalization in one dimension.
Nonequilibrium Statistical Mechanics
Systems out of equilibrium, kinetic theory of a gas, approach to equilibrium and the H-theorem, Boltzmann equation and its application to transport problems, master equation and irreversibility, simple examples, ergodic theorem.
Brownian motion, Langevin equation, fluctuation-dissipation theorem, Einstein relation, Fokker-Planck equation.
Correlation Functions
Time correlation functions, linear response theory, Kubo formula, Onsager relations.
Coarse-grained Models
Hydrodynamics, Navier-Stokes equation for fluids, simple solutions for fluid flow, conservation laws and diffusion.
References:
- K. Huang,Statistical Mechanics, Wiley
- R.K. Pathria, Statistical Mechanics, Elsevier
- E.M. Lifshitz and L.P. Pitaevskii,Physical Kinetics, Pergamon Press
- D.A. McQuarrie,Statistical Mechanics, University Science Books
- L.P. Kadanoff, Statistical Physics: Statistics, Dynamics and Renormalization, World Scientific
- P.M. Chaikin and T.C. Lubensky, Principles of Condensed Matter Physics, Cambridge University Press
PS 523 Astrophysics, Gravitation & Cosmology
(3 credits)
General Theory of Relativity
Brief review of special theory of relativity, geometry of Minkowski spacetime. Curvilinear coordinates, covariant differentiation and connection. Curved space and curved spacetime. Contravariant and covariant indices. Metric tensor. Christoffel connection. Geodesics. Riemann, Ricci and Scalar curvature.
Principle of equivalence. Einstein equations in vacuum. Spherically symmetric solution, Schwarzschild geometry. Timelike and lightlike trajectories. Perihelion precession, bending of light in a gravitational field. Apparent singularity of the horizon, Eddington-Finkelstein and Kruskal-Szekeres coordinates. Penrose diagram.
Energy-momentum tensor and Einstein equations. Weak field approximation, gravitational waves.
Physics of the Universe
Large scale homogeneity and isotropy of the universe. Expanding universe and Hubble’s law. FRW metric and Friedmann’s equations. Equations of state for matter (nonrelativistic dust), radiation and cosmological constant. Behaviour of scale factor for radiation, matter and cosmological constant domination. Big bang cosmology. Thermal history of the universe. Cosmic microwave background radiation and its anisotropy. Inflationary paradigm.
Astrophysics
Measuring distance and the astronomical ladder. Stellar spectra and structure, Hertzsprung-Russell diagram. Einstein equations for the interior of a star. Stellar evolution, nucleosynthesis and formation of elements. Main sequence stars, white dwarves, neutron stars, supernovae, pulsars and quasars.
References:
- B. Schutz,A First Course in General Relativity, Cambridge Univ Press
- S. Carroll, Spacetime and Geometry, Pearson
- S. Weinberg, Gravitation and Cosmology, Wiley
- J.V. Narlikar, An Introduction to Relativity, Cambridge Univ Press
- J. Hartle, Gravity, Pearson
- J.V. Narlikar, An Introduction to Cosmology, Cambridge Univ Press
- D. Maoz,Astrophysics in a Nutshell, Princeton University Press
- A. Rai Choudhuri, Astrophysics for Physicists, Cambridge Univ Press
- T. Padmanabhan, An Invitation to Astrophysics, World Scientific
PS 524 Quantum Field Theory(3 credits)
Examples of classical fields, vibrating string and electromagnetic field. Canonical coordinates and momenta, Lagrangian and Hamiltonian formulation.
Relativistic scalar field and Klein-Gordon equation. Canonical quantization. Space of states, Fock space, vacuum states and excitations. Complex scalar field.
Noether theorem. Internal symmetries. Spacetime translations and energy-momentum tensor. Elementary excitations and particles.
Lorentz and Poincare symmetry. Spinor and vector fields.
Correlators of free scalar field. Retarded, advanced Green functions, Feynman propagator. Coupling to external source and partition function. Time ordering and normal ordering. Wick’s theorem.
Dirac field. Lagrangian and Hamiltonian. Canonical quantization and anticommutators. Green’s function.
Interacting scalar field, phi-4 and Yukawa interactions. Ising Model and scalar field theory. Interaction picture. Green’s functions of interacting field and perturbation theory. Feynman rules and Feynman diagrams.
LSZ reduction formula. S-matrix. Tree level correlators.
Loops and divergences. UV and IR divergences. Connected and disconnected diagrams. Examples of divergences in two- and four-point correlators. Introduction to regularization and renormalization.
References:
- M. Maggiore,A Modern Introduction to Quantum Field Theory, Cambridge University Press
- P. Ramond, Field theory, a Modern Primer, Addison-Wesley
- L. Ryder, Quantum Field Theory, Academic Press
- A. Altland and B. Simon, Condensed Matter Field Theory, Cambridge University Press
- M.E. Peskin and D.V. Schroeder,An Introduction to Quantum Field Theory, Levant
- A. Zee, Quantum Field Theory in a Nutshell, Universities Press
PS 525 Biophysics(3 credits)
Introduction
Evolution of biosphere, aerobic and anaerobic concepts, models of evolution of living organisms.
Physics of Polymers
Nomenclature, definitions of molecular weights, polydispersity, degree of polymerization, possible geometrical shapes, chirality in biomolecules, structure of water and ice, hydrogen bond and hydrophobocity.
Static Properties
Random flight model, freely-rotating chain model, scaling relations, concept of various radii (i.e., radius of gyration, hydrodynamic radius, end-to-end length), end-to-end length distributions, concept of segments and Kuhn segment length, excluded volume interactions and chain swelling, Gaussian coil, concept of theta and good solvents with examples, importance of second virial coefficient.
Polyelectrolytes
Concepts and examples, Debye-Huckel theory, screening length in electrostatic interactions.
Transport Properties
Diffusion:Irreversible thermodynamics, Gibbs-Duhem equation, phenomenological forces and fluxes, osmotic pressure and second virial coefficient, generalized diffusion equation, Stokes-Einstein relation, diffusion in three-component systems, balance of thermodynamic and hydrodynamic forces, concentration dependence, Smoluchowski equation and reduction to Fokker-Planck equation, concept of impermeable and free-draining chains.
Viscosity and Sedimentation: Einstein relation, intrinsic viscosity of polymer chains, Huggins equation of viscosity, scaling relations, Kirkwood-Riseman theory, irreversible thermodynamics and sedimentation, sedimentation equation, concentration dependence.
Physics of Proteins
Nomenclature and structure of amino acids, conformations of polypeptide chains, primary, secondary and higher-order structures, Ramachandran map, peptide bond and its consequences, pH-pK balance, protein polymerization models, helix-coil transitions in thermodynamic and partition function approach, coil-globule transitions, protein folding, protein denaturation models, binding isotherms, binding equilibrium, Hill equation and Scatchard plot.
Physics of Enzymes
Chemical kinetics and catalysis, kinetics of simple enzymatic reactions, enzyme-substrate interactions, cooperative properties.
Physics of Nucleic Acids
Structure of nucleic acids, special features and properties, DNA and RNA, Watson-Crick picture and duplex stabilization model, thermodynamics of melting and kinetics of denaturation of duplex, loops and cyclization of DNA, ligand interactions, genetic code and protein biosynthesis, DNA replication.
Experimental Techniques
Measurement concepts and error analysis, light and neutron scattering, X-ray diffraction, UV spectroscopy, CD and ORD, electrophoresis, viscometry and rheology, DSC and dielectric relaxation studies.
Recent Topics in Bio-Nanophysics
References:
- H. Bohidar,Fundamentals of Polymer Physics and Molecular Biophysics, Cambridge Univ Press
- M.V. Volkenstein, General Biophysics, Academic Press
- C.R. Cantor and P.R. Schimmel, Biophysical Chemistry Part III: The Behavior of Biological Macromolecules, W.H. Freeman
- C. Tanford, Physical Chemistry of Macromolecules, John Wiley
- S.F. Sun,Physical Chemistry of Macromolecules: Basic Principles and Issues, Wiley
PS 526 Laser Physics(3 credits)
Introduction
Masers versus lasers, components of a laser system, amplification by population inversion, oscillation condition, types of lasers: solid-state (ruby, Nd:YAG, semi-conductor), gas (He-Ne, CO_{2},excimer), liquid (organic dye) lasers.
Atom-Field Interactions
Lorenz theory, Einstein's rate equations, applications to laser transitions with pumping, two, three and four-level schemes, threshold pumping and inversion.
Optical Resonators
Closed versus open cavities, modes of a symmetric confocal optical resonator, stability, quality factor.
Semi-classical Laser Theory
Density matrix for a two-level atom, Lamb equation for the classical field, threshold condition, disorder-order phase transition analogy.
Coherence
Concepts of coherence and correlation functions, coherent states of the electromagnetic field, minimum uncertainty states, unit degree of coherence, Poisson photon statistics.
Pulsed Operation of Lasers
Q-switching, electro-optic and acousto-optic modulation, saturable absorbers, mode-locking.
Applications of Lasers
Introduction to atom optics, Doppler cooling of atoms, introduction to nonlinear optics: self-(de) focusing, second-harmonic generation (phase-matching conditions). Industrial and medical applications.
References:
- K. Thyagarajan and A.K. Ghatak,Lasers: Theory and Applications, Springer
- A.K. Ghatak and K. Thyagarajan,Optical Electronics, Cambridge University Press
- W. Demtroeder,Laser Spectroscopy, Springer
- B.B. Laud,Lasers and Nonlinear Optics, Wiley-Blackwell
- M. Sargent, M.O. Scully and W.E. Lamb, Jr.,Laser Physics, Perseus Books
- M.O. Scully and M.S. Zubairy,Quantum Optics, Cambridge University Press
- P. Meystre and M. Sargent, Elements of Quantum Optics, Springer
- L. Mandel and E. Wolf, Optical Coherence and Quantum Optics, Cambridge University Press
PS 527 Advanced Condensed Matter Physics
(3 credits)
Dielectric Properties of Solids
Dielectric constant of metal and insulator using phenomenological theory (Maxwell's equations), polarization and ferroelectrics, inter-band transitions, Kramers-Kronig relations, polarons, excitons, optical properties of metals and insulators.
Transport Properties of Solids
Boltzmann transport equation, resistivity of metals and semiconductors, thermoelectric phenomena, Onsager coefficients. Quantum Hall Effect.
Many-electron Systems
Sommerfeld expansion, Hartree-Fock approximation, exchange interactions. Density functional theory. Concept of quasi-particles, introduction to Fermi liquid theory. Screening, plasmons. Fractional quantum hall effect.
Introduction to Strongly Correlated Systems
Narrow band solids, Wannier orbitals and tight-binding method, Mott insulator, electronic and magnetic properties of oxides, introduction to Hubbard model.
Magnetism
Magnetic interactions, Heitler-London method, exchange and superexchange, magnetic moments and crystal-field effects, ferromagnetism, spin-wave excitations and thermodynamics, antiferromagnetism.
Superconductivity
Basic phenomena, London equations, Cooper pairs, coherence, Ginzburg-Landau theory, BCS theory, Josephson effect, SQUID, excitations and energy gap, magnetic properties of type-I and type-II superconductors, flux lattice, introduction to high-temperature superconductors.
References:
- N.W. Ashcroft and N.D. Mermin,Solid State Physics, Brooks/Cole
- D. Pines,Elementary Excitations in Solids, Addison-Wesley
- S. Raimes, The Wave Mechanics of Electrons in Metals, Elsevier
- P. Fazekas,Lecture Notes on Electron Correlation & Magnetism, World Scientific
- M. Tinkham,Introduction to Superconductivity, CBS
- M. Marder,Condensed Matter Physics, Wiley
- P.M. Chaikin and T.C. Lubensky, Principles of Condensed Matter Physics, Cambridge University Press
PS 528 Nonlinear Dynamics(3 credits)
Introduction to Dynamical Systems
Physics of nonlinear systems, dynamical equations and constants of motion, phase space, fixed points, stability analysis, bifurcations and their classification, Poincaré section and iterative maps.
Dissipative Systems
One-dimensional noninvertible maps, simple and strange attractors, iterative maps, period-doubling and universality, intermittency, invariant measure, Lyapunov exponents, higher-dimensional systems, Hénon map, Lorenz equations, fractal geometry, generalized dimensions, examples of fractals.
Hamiltonian Systems
Integrability, Liouville's theorem, action-angle variables, introduction to perturbation techniques, KAM theorem, area-preserving maps, concepts of chaos and stochasticity.
Advanced Topics
Selections from quantum chaos, cellular automata and coupled map lattices, pattern formation, solitons and completely integrable systems, turbulence.
References:
- E. Ott,Chaos in Dynamical Systems, Cambridge University Press
- E.A. Jackson,Perspectives of Nonlinear Dynamics (Vol. I and II), Cambridge University Press
- A.J. Lichtenberg and M.A. Lieberman,Regular and Stochastic Motion, Springer
- A.M. Ozorio de Almeida,Hamiltonian Systems: Chaos and Quantization, Cambridge University Press
- M. Tabor,Chaos and Integrability in Nonlinear Dynamics, Wiley-Blackwell
- M. Lakshmanan and S. Rajasekar, Nonlinear Dynamics: Integrability, Chaos and Patterns, CRC Press
- H.J. Stockmann,Quantum Chaos: An Introduction, Cambridge University Press
- V. Arnold, Mathematical Methods of Classical Mechanics, Springer
PS 529 Theory of Soft Condensed Matter
(3 credits)
_{Review of statistical mechanics}
Partition function, free energy, entropy. Entropy and information. Ideal systems. Interacting systems: Ising model and phase transition. Approximate methods for interacting systems: mean field and generalizations.
Complex molecues
The cell, small molecules, proteins and nucleic acids. Stretching a single DNA molecule, the freely jointed chain, the one-dimensional cooperative chain, the worm-like chain, zipper model, The helix-coil transition.
Biological matter
Polymer collapse: Flory's theory. Collapse of semiflexible polymers: lattice models and the tube model. The self-avoiding walk and the O(n) model. An introduction to protein folding and design. RNA folding and secondary structure. Protein and RNA mechanical unfolding. Molecular motors.
Physics of active matter
Active matter and self-propelled dynamics. Dry active matter, model of flocking.Hydrodynamic equations of active gels, entropy production, conservation laws, Thermodynamics of polar systems. Fluxes, forces, and time reversal.Constitutive equations, Microscopic interpretation of the transport coefficients. Applications of hydrodynamic theory to phenomena in living cell: Derivation of Hydrodynamics from microscopic models of active matter, microscopic models of self-propelled particles: motors and filaments.
Theoretical models of stochastic dynamics
Stochastic processes as an universal toolbox. Brownian Motion. Langevin Equation. Fokker-Planck description. Fluctuation-dissipation relations. From stochastic dynamics to macroscopic equations Smoluchowski dynamics. From Smoluchowski to hydrodynamics.
Numerical methods
Complex fluids, soft matter, colloids. Lattice gas cellular automata models.
Lattice Boltzman equation.
References
1. K. Huang, Statistical Physics, Wiley
2. R.K. Pathria and P.D. Beale, Statistical Mechanics,Academic Press
3. K. Sneppen and G. Zocchi, Physics in Molecular Biology,Cambridge
4. P. Nelson, Biological Physics, Freeman
5. B. Alberts et al, Molecular Biology of the Cell,Garland
PS 530 Modern Experiments of Physics
(3 credits)
Note:This course will familiarize students with some landmark experiments in physics through the original papers which reported these experiments. A representative list is as follows:
- Mössbauer effect
- Pound-Rebka experiment to measure gravitational red shift
- Parity violation experiment of Wu et al
- Superfluidity of ^{3}He
- Cosmic microwave background radiation
- Helicity of the neutrino
- Quantum Hall effect - integral and fractional
- Laser cooling of atoms
- Ion traps
- Bose-Einstein condensation
- Josephson tunneling
- Atomic clocks
- Interferometry for gravitational waves
- Quantum entanglement experiments: Teleportation experiment, Aspect's experiment on Bell's inequality
- Inelastic neutron scattering
- CP violation
- J/Psi resonance
- Verification of predictions of general theory of relativity by binary-pulsar and other experiments
- Precision measurements of magnetic moment of electron
- Libchaber experiment on period-doubling route to chaos
- Anfinson's experiment on protein folding
- Scanning tunnelling microscope
- Discovery of the Higgs particle
- Discovery of Neutrino oscillation
References
The original papers, review articles and Nobel Lectures constitute the resource material for this course.
II. Courses for M.Sc. in Chemistry
Semester I | Semester II |
Basic Organic Chemistry PS452C (3 credits) | Advanced Organic Chemistry-I PS456C (3 credits) |
Basic Inorganic Chemistry PS453C (3 credits) | Advanced Inorganic Chemistry-I PS457C (3 credits) |
Quantum Chemistry PS454C (3 credits) | Molecular spectroscopy PS458C (3 credits) |
Mathematical Methods for Chemists PS 455C (2 credits) | Concepts in Physical Chemistry PS459C (3 credits) |
Laboratory - I PS451C (6 credits) | Laboratory - II PS460C (6 credits) |
Total Credits : 17 | Total Credits : 18 |
Total Credits at the end of first year = 35 | |
Semester III | Semester IV |
Advanced Organic Chemistry-II PS462C (3 credits) | Supramolecular Chemistry PS615C (3 credits) |
Advanced Inorganic Chemistry-II PS463C (3 credits) | Research Project PS465C (7 credits) |
Analytical Techniques in Chemistry PS464C (3 credits) | Elective I |
Computer Lab* PS461C (3 credits) | Elective II |
Research Project PS465C (7 credits) | |
Total Credits : 19 | Total Credits : 16 |
Total Credits at the end of second year = 35 + 35 = 70 |
*This course would be combined with the Computational Physics course (PS 427)
List of Elective Courses:
PS | Solid State Chemistry | PS614C | Advanced Spectroscopy and its Application |
PS613C | Computational Chemistry Applications | PS618C | Crystallography: Basic Principle and Applications |
PS | Biophysical Chemistry | PS | Natural Products and Medicinal Chemistry |
PS | Physical Organic Chemistry | PS616C | Molecular Materials |
Suggested elective courses from other schools/centers (list not exhaustive):
- Molecular Biology & Molecular Genetics (SBT)
- Free radicals and metal ions in biology and medicine (SCMM)
- Structural biology & Structure based drug design (SCMM)
- Biophysical Chemistry (SBT)
III. Courses for M.Sc. in Mathematics
Full details of all Mathematics courses can be found here.
- 12 Core courses + 1 Project + 3 Electives for a total of 16 courses.
- A project is a compulsory course.
- Each course carries 4 credits for a total of 64 credits.
Semester I | Semester II |
Algebra I | Algebra II |
Complex Analysis | Measure Theory |
Real Analysis | Functional Analysis |
Basic Topology | Discrete Mathematics |
Semester III | Semester IV |
Probability and Statistics | Partial Differential Equations |
Computational Mathematics | Elective I |
Ordinary Differential Equations | Elective II |
Project | Elective III |
Students can choose three elective courses from the ones which will be offered from the following list:
List of Elective Courses | |
Number Theory | Differential Topology |
Harmonic Analysis | Analytic Number Theory |
Proofs | Advanced Algebra |
Algebraic Topology | Banach and Operator Algebras |
Full details of all Mathematics courses can be found here.
FAQs
Is MSc course available in JNU? ›
Jawaharlal Nehru University (JNU) M.Sc is a 2-year postgraduate program. It is offered in 5 specializations namely, Life Sciences, Environmental Sciences, Physical Sciences, Computational and Integrative Sciences, and Molecular Medicine.
How can I get admission in JNU for MSc? ›
Jawaharlal Nehru University Entrance Exam (JNUEE)
Anyone who is applying to appear in this test to fill application will visit the link https://jnuee.jnu.ac.in/ for admissions to any UG, PG, and PhD courses. JNUEE is taken for courses such as BA (Hons.), MBA, MCA, M-Tech, MSc (Biotechnology), and doctoral programs.
Does JNU offer MSc in computer science? ›
JNU has released the Round 4 cutoff list for admission to the MSc course in Biotechnology & Computational & Integrative Sciences through GAT-B. Check here. The University offers a two-year full-time MSc programme at the postgraduate level.
Is MSc from JNU good? ›
JNU is of course a good choice to do M.Sc. The university ranked 2nd in 2018 & 2017 and 3rd in 2016 among top universities in India by National Institutional Ranking Framework (MHRD). Basically, MSc is an academic degree that's higher than bachelor's degree and lower than PhD. MSc graduates are very much in demand.
Which course is best in JNU? ›
- Integrated M.Sc-Ph.D programme in Computational & Integrative Sciences(CISM)
- Integrated M.Sc-Ph.D programme in Molecular Medicine(CMMM)
- M.A. in Ancient History(ANCM)
- M.A. in Arabic(ARBM)
- M.A. in Arts & Aesthetics(SAAM)
- M.A. in Chinese(CHNM)
- M.A. in Development and Labour Studies(DLSM)
How many courses are there in JNU for PG? ›
The University offers M.A., M.Sc., MCA, MPH, M. Tech, PG Diploma and Advanced Diploma in Mass Media programmes. Candidates will be admitted to these programmes through Central University Entrance Test (CUET (PG)) 2022 to be conducted by NTA.
Is JNU better than DU? ›
In the overall rankings, JNU was at the ninth spot while JMI and DU bagged the 13th and 19th rank respectively. Indian Institute of Technology (IIT), Delhi was at the fourth spot in the overall rankings. Agencies JNU and JMI bagged the 17th and 30th ranks respectively in the category.
Can I get admission in JNU without entrance exam? ›
The candidates are selected on the basis of viva voce examination only and no entrance examination is prescribed by the University. For admission to B.A. (Hons.)
Is JNU entrance exam tough? ›
NEW DELHI: Getting admission in Jawaharlal Nehru University has got tougher. From an average of 20 candidates per seat in the past, it has risen to 36 per seat this time. Just how much tougher it has become can be gauged from the fact that MA political science has 144 candidates per seat.
How can I prepare for MSc Computer Science entrance exam? ›
- Revise your Aptitude and Mathematical Formula. Learn basic of Aptitude tests and mathematical formula. ...
- Focus on your Strong Area. If you are good in programming skills then prepare thoroughly by including entire syllabus contents of your strong area topics. ...
- Discussion with existing MSC students.
How can I do MSc computer science? ›
Candidates who have completed their Bachelor's degree in the field of Computer Science with a minimum of 60% from any recognized university or Institute will be able to opt M.Sc C.S.
What is the hostel fee of JNU? ›
...
Hostel.
Current Hostel Charges | in Rs. |
---|---|
Admission Fee | 005.00 |
Hostel Security(refundable) | 50.00 |
Mess Security (Refundable) | 750.00 |
Mess Advance (Adjustable) | 750.00 |
What can I do after master in JNU? ›
You will have many career opportunities after completing an MA in Political Science or International Relations from JNU. You can get jobs in embassies, think tanks, academics, and journalism. You can become a diplomate as well. If you are pursuing Political Science, it will be better to do a Ph.
Does JNU have entrance exam? ›
About JNUEE 2022
The CUET UG 2022 will be conducted in the first and second week of July. The Jawaharlal Nehru University Entrance Examination or JNUEE is an entrance test conducted by NTA for admission to postgraduate programmes offered by university.
What is the syllabus for JNU entrance exam? ›
The syllabus will include Mathematical Economics, Statistics, Econometrics, Microeconomics, Macroeconomics, International Trade, Development Economics, Public Economics and Environmental Economics taught at the Master's level.
What is the annual fees of JNU? ›
...
Fee Structure.
S. No. | Head of Fee | In Rupees |
---|---|---|
7. | Registration Fee (One Time) | 1000 |
8. | Security Deposit (Refundable: One Time) | 5000 |
9. | Medical Fee (Annual) | 9 |
10. | Medical Booklet | 12 |
What is JNU famous for? ›
JNU is well-known for path-breaking research in the Sciences, and has always encouraged students towards innovation and transformation in different sectors corresponding to different schools such as the School of Physical Sciences (SPS), the School of Life Sciences (SLS), the Special Centre for Microbiology, the School ...
Is there MSC Zoology in JNU? ›
Hello, JNU doesnt offer any Master's courses in Zoology. But there is an Msc in life sciences, biotechnology or environmental sciences course available.
Can I get direct admission in JNU? ›
Degree holders are eligible for admission, provided they have scored a minimum of 55 per cent marks or equivalent grades [UGC Guidelines]. Admission is based on a national level entrance examination followed by an interview. For updated information, please visit JNU's Admission Webpage.
Are JNU forms out for 2022? ›
JNU Admission 2022 Application Form
JNU application form through CUET UG has been released from 6th April to 22nd May 2022. Registration process for the JNU PG (CUET PG) will be regulated from 19th May to 18th June 2022. Candidates have to fill the application form as per the given instructions on it.
Is JNU a govt university? ›
...
Jawaharlal Nehru University.
Type | Public |
---|---|
Academic staff | 631 (2021) |
Students | 8,847 (2021) |
Undergraduates | 1,117 (2021) |
Postgraduates | 3,498 (2021) |
What is the rank of JNU in the world? ›
Rankings & ratings
Jawaharlal Nehru University is one of the top public universities in New Delhi, India. It is ranked #601-650 in QS World University Rankings 2023.
Is JMI better than JNU? ›
Jawaharlal Nehru University retained its position as the country's second best university while Jamia Millia Islamia rose to the sixth spot from 10th rank last year, according to the Ministry of Education's National Institutional Ranking Framework (NIRF) ranking announced on Thursday.
Which post graduate degree is best in India? ›
- PG Diploma in Management (PGDM)
- MBA (Masters in Business Administration)
- MTech.
- PGD in Hotel Management.
- PGPM.
- Certification in Finance and Accounting (CFA)
- Project Management.
- PG Diploma in Digital Marketing or Business Analytics.
What is the last date of JNU Application Form 2022? ›
JNU Admission Form 2022
JNU application form 2022 has also been released for the MBA programme. Visit the official website for details. JNU application form for CUET has been started from 6th April and it will end on 22th May 2022.
Does JNU have interview? ›
Hello dear student, No dear student there is no provision of interview in JNU while there is a interview in Delhi University. NTA conducts the examination under name of jawaharlal Nehru entrance examination (JNUEE) . Admission is only on the basis of the merit student obtains in the entrance test .
How much percentage is required for admission in JNU? ›
According to the JNU eligibility criteria, you will require at least 45% aggregate marks in the qualifying examination. Candidate must be 17 years as of 1st October 2022 to be eligible for admission.
When should I start preparing for JNU entrance exam? ›
...
Explore Other Exams.
5 Jun '22 | Round 4 Test |
---|---|
17 Apr '22 | Round 3 Test |
Is there any negative marking in JNU entrance exam? ›
JNU Entrance Exam Details
The question paper will contain multiple-choice questions with negative marks for wrong answers (total 100 marks) and grading will be computerized.
How can I prepare for JNU? ›
- Candidates should check whether the complete syllabus is covered or not.
- One should check the JNUEE mock test papers in the preparation books.
- Pick the JNUEE JNU book that carries the previous years' question papers.
- Always prefer the latest or recent year edition.
Is MCA or MSc it better? ›
Also, MCA graduates have an edge over MSc graduates as the curriculum of MCA includes management modules also. The eligibility criteria in this course would involve BCA or graduation in any stream, with mathematics as a subject at the intermediate exam leve and to get admission you need to clear an entrance test.
Which is better MSc CS or MCA? ›
MCA course structure offers a more advanced level of coding and networking concepts, along with an introduction to machine learning. MCA offers a greater amount of practical exposure to aspirants, while M.Sc offers more research scope for graduates.
Which book is best for MSc Computer Science entrance exam? ›
Book | M.sc. Entrance Computer Science Useful For All Universities |
---|---|
Author | BANDLA |
Binding | Paperback |
Publishing Date | 2019 |
Publisher | BANDLA PUBLICATIONS |
Which MSc course is best? ›
- MSc Clinical Psychology.
- MSc Bioinformatics.
- MS in Animal Biotechnology.
- MSc in Computer Science.
- MSc IT.
- MSc Geology.
- MS in Computer Science in Germany.
- MSc in Computer Science.
Which MSc course has highest salary? ›
S no | Masters degrees | Salary |
---|---|---|
1 | Business Administration | $170,000 per year |
2 | Engineering | $120,000 per year |
3 | Petroleum Engineering | $110,000 per year |
4 | Physics | $110,000 per year |
Which course is best for MSc Computer Science? ›
- 1) Certification in JAVA.
- 2) Cloud Computing Certification.
- 3) Certification in Machine learning.
- 4) SAP course.
- 5) Data Science Certification.
- 6) Certification course in Artificial Intelligence.
- 7) Certification course in Web Designing.
Which is the cheapest Central University in India? ›
The Banaras Hindu University is cheaper, with students having to pay an average of Rs 27,400 annually. Uttar Pradesh's other major central university, AMU, is significantly cheaper at Rs 14,400. At Delhi's Jamia Millia Islamia, the annual fee is Rs 35,000.
Can I get single room in JNU? ›
Applications are invited for Single Seater hostelrooms from the following research scholars for the Current Academic Year 2021-22 on the prescribed form available in all hostels and on JNU web-site. Semester 2019 or before will be eligible to apply for single seater room.
How is mess food at JNU Quora? ›
The rooms are not very spacious. Unless you are a PhD. scholar, you will have to share the room with one more student. Further, the food in most of the mess is not very tasty, specially Shipra and Koyna hostels.
Does JNU provide placement? ›
Yes, JNU provides good placements. According to JNU overall NIRF report 2022, the median package offered during UG 3-year and PG 2-year placements 2021 stood at INR 6 LPA and INR 8 LPA, respectively.
Can I study in JNU while working? ›
JNU's admission policy states: “Candidates enjoying employed status and selected for admission shall be required to produce Leave Sanction Order for a period of two years at the time of registration.
Is JNU entrance exam online? ›
JNU CUET exam 2022 was held in computer-based mode. All the qualifying candidates in the entrance exam will be provided admission to different undergraduate and postgraduate programmes by Jawaharlal Nehru University.
How can I get admission in JNU for MSC? ›
Candidates seeking admission to M.Sc at JNU must clear the Common University Entrance Test (CUET PG) conducted by NTA. Admission shall be granted on the basis of performance in the CUET PG exam. The final selection will be based on the merit list released by the university.
How can I get admission in JNU for masters? ›
- Visit the official website - cuet.nta.nic.in.
- On the homepage, click on the link that reads, 'Registration for CUET (PG) - 2022. ...
- Register yourself and then login using your credentials.
- Fill in the application form, upload the documents.
- Pay the application fees and submit the form.
Is general test compulsory for JNU? ›
The entrance test for this programme is a common test for all languages. Candidates seeking admission to B.A. (Hons.) in JNU have to appear for CUET (UG) 2022. They are required to opt for Section IA – English Test and Section III – General Test for the admission in JNU.
Is JNU entrance MCQ based? ›
...
JNU Exam Pattern 2022.
Exam duration | 3 hours |
---|---|
Mode of exam | LAN Based CBT (Computer Based Test) |
Maximum marks | 100 |
Type of questions | Multiple-choice Questions (MCQs) |
Medium of exam | English |
Is JNU Entrance Exam objective or subjective? ›
The Common University Entrance Test (CUET) based on multiple choice questions over the decades old subjective entrance test pattern --- academicians are raising doubts over the new examination pattern for postgraduate admissions in Jawaharlal Nehru University.
Is there any negative marking in JNU Entrance Exam 2021? ›
...
JNUEE 2022 Exam Pattern.
Mode of Examination | LAN Based CBT (Computer Based Test) |
---|---|
Marking scheme | 1 /marks per question. However, varies from course to course |
Negative marking | none |
Does JNU offer MSC zoology? ›
Hello, JNU doesnt offer any Master's courses in Zoology. But there is an Msc in life sciences, biotechnology or environmental sciences course available.
Does JNU offer MSC physics? ›
...
MSc programmes at SPS.
Semester I | Semester II |
---|---|
Electronics PS 425 (2 credits) | Mathematical Physics II PS 428 (2 credits) |
What courses does JNU offer? ›
School | Program | Intake |
---|---|---|
B. A (Hons) Spanish | 39 | 3 Years |
School of Sanskrit and Indic Studies | B. Sc - M. Sc Integrated Program in Ayurveda Biology | 20 |
School of Engineering | B. Tech in Computer Science and Engineering & MS/M. Tech in Social Sciences/Humanities/Science/Technology | 25 |
Does JNU offer MSC mathematics? ›
SPS offers two programmes in Mathematics, namely, M.Sc. and Ph.
Is M.Sc Microbiology available in JNU? ›
No, it does not. However, JNU has some Master's courses such as Biotechnology, Life Sciences and Molecular Medicine out of which there are entrance examinations for Biotech and Life Sciences and entrance as well as an interview for the Molecular Medicine course.
How many seats are there in JNU for M.Sc life science? ›
For a total of approximately 50 seats School offer each year in M.Sc. and M. Phil/Ph. D.
Does JNU have M.Sc biotechnology? ›
The students are admitted to the M.Sc. program on the basis of an All-India entrance examination conducted by JNU on behalf of 34 universities (where M.Sc. in Biotechnology program is supported by DBT) of the country. It has been hailed as one of the most promising Master's programme offered in the country.
How many seats are there in JNU for MSC physics? ›
There is only about 30 seats in JNU for m.sc. physics.
How many seats are there in MSC Physics in JNU? ›
...
JNU 2022 PG Courses.
Schools | Courses | Seats |
---|---|---|
School of Computer and System Sciences | MCA (Masters in Computer Applications) | 46 |
School of Physical Sciences | M.Sc in Physics | 31 |
What is the hostel fee of JNU? ›
...
Hostel.
Current Hostel Charges | in Rs. |
---|---|
Admission Fee | 005.00 |
Hostel Security(refundable) | 50.00 |
Mess Security (Refundable) | 750.00 |
Mess Advance (Adjustable) | 750.00 |
Is JNU better than DU? ›
In the overall rankings, JNU was at the ninth spot while JMI and DU bagged the 13th and 19th rank respectively. Indian Institute of Technology (IIT), Delhi was at the fourth spot in the overall rankings. Agencies JNU and JMI bagged the 17th and 30th ranks respectively in the category.
Can I get direct admission in JNU? ›
Degree holders are eligible for admission, provided they have scored a minimum of 55 per cent marks or equivalent grades [UGC Guidelines]. Admission is based on a national level entrance examination followed by an interview. For updated information, please visit JNU's Admission Webpage.
Can I get admission in JNU without entrance exam? ›
The candidates are selected on the basis of viva voce examination only and no entrance examination is prescribed by the University. For admission to B.A. (Hons.)
How can I get admission in JNU for MSc Maths? ›
Eligibility Criteria
A candidate must have Bachelor's degree in Mathematics under the 10+2+3/4 system with at least 55% marks or equivalent, Or B. Tech or B.E. in any of the Engineering disciplines with a CGPA of at least 6.0 out of 10.0 (or equivalent percentage).
How many seats are there in MSc Maths in DU? ›
There are 371 seats in North Campus and 79 in South Campus for M.A./M.Sc. programme in Mathematics.
Are JNU forms out for 2022? ›
JNU Admission 2022 Application Form
JNU application form through CUET UG has been released from 6th April to 22nd May 2022. Registration process for the JNU PG (CUET PG) will be regulated from 19th May to 18th June 2022. Candidates have to fill the application form as per the given instructions on it.