**
Mathematical Physics: **
Linear vector space; matrices; vector calculus; linear
differential equations; elements of complex analysis;
Laplace transforms, Fourier analysis, elementary ideas about
tensors.

**
Classical Mechanics: **
Conservation laws; central forces, Kepler problem and
planetary motion; collisions and scattering in laboratory
and centre of mass frames; mechanics of system of particles;
rigid body dynamics; moment of inertia tensor; non inertial
frames and pseudo forces; variational principle; Lagrange’s
and Hamilton’s formalisms; equation of motion, cyclic
coordinates, Poisson bracket; periodic motion, small
oscillations, normal modes; special theory of relativity –
Lorentz transformations, relativistic kinematics,
mass-energy equivalence.

**
Electromagnetic Theory: **
Solution of electrostatic and magnetostatic problems
including boundary value problems; dielectrics and
conductors; Biot-Savart’s and Ampere’s laws; Faraday’s law;
Maxwell’s equations; scalar and vector potentials; Coulomb
and Lorentz gauges; Electromagnetic waves and their
reflection, refraction, interference, diffraction and
polarization. Poynting vector, Poynting theorem, energy and
momentum of electromagnetic waves; radiation from a moving
charge.

**
Quantum Mechanics: **
Physical basis of quantum mechanics; uncertainty principle;
Schrodinger equation; one, two and three dimensional
potential problems; particle in a box, harmonic oscillator,
hydrogen atom; linear vectors and operators in Hilbert
space; angular momentum and spin; addition of angular
momentum; time independent perturbation theory; elementary
scattering theory.

**
Thermodynamics and Statistical Physics: **
Laws of thermodynamics; macro states and microstates; phase space;
probability ensembles; partition function, free energy,
calculation of thermodynamic quantities; classical and
quantum statistics; degenerate Fermi gas; black body
radiation and Planck’s distribution law; Bose-Einstein
condensation; first and second order phase transitions,
critical point.

**
Atomic and Molecular Physics: **
Spectra of one- and many-electron atoms; LS and jj coupling;
hyperfine structure; Zeeman and Stark effects; electric
dipole transitions and selection rules; X-ray spectra;
rotational and vibrational spectra of diatomic molecules;
electronic transition in diatomic molecules, Franck-Condon
principle; Raman effect; NMR and ESR; lasers.

**
Solid State Physics: **
Elements of crystallography; diffraction methods for
structure determination; bonding in solids; elastic
properties of solids; defects in crystals; lattice
vibrations and thermal properties of solids; free electron
theory; band theory of solids; metals, semiconductors and
insulators; transport properties; optical, dielectric and
magnetic properties of solids; elements of
superconductivity.

**
Nuclear and Particle Physics: **
Nuclear radii and charge distributions, nuclear binding
energy, Electric and magnetic moments; nuclear models,
liquid drop model - semi-empirical mass formula, Fermi gas
model of nucleus, nuclear shell model; nuclear force and two
nucleon problem; Alpha decay, Beta-decay, electromagnetic
transitions in nuclei; Rutherford scattering, nuclear
reactions, conservation laws; fission and fusion; particle accelerators and
detectors; elementary particles, photons, baryons, mesons
and leptons; quark model.

**
Electronics: **
Network analysis; semiconductor devices; Bipolar Junction
Transistors, Field Effect Transistors, amplifier and
oscillator circuits; operational amplifier, negative
feedback circuits , active filters and oscillators;
rectifier circuits, regulated power supplies; basic digital
logic circuits, sequential circuits, flip-flops, counters,
registers, A/D and D/A conversion.