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; collisions and scattering in
laboratory and centre of mass reference
frames; mechanics of system of particles;
rigid body dynamics; moment of inertia
tensor; noninertial 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; wave equation and wave propagation;
special theory of relativity - Lorentz
transformations, relativistic kinematics,
mass-energy equivalence.
Electromagnetic Theory: Laplace and Poisson
equations; conductors and dielectrics;
boundary value problems; Ampere's and
Biot-Savart's laws; Faraday's law; Maxwell's
equations; scalar and vector potentials;
Coulomb and Lorentz gauges; boundary
conditions at interfaces; electromagnetic
waves; interference, diffraction and
polarization; radiation from moving charges.
Quantum Mechanics: Physical basis of quantum
mechanics; uncertainty principle;
Schrodinger equation; one 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.
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.
Thermodynamics and Statistical Physics: Laws
of thermodynamics; macrostates, 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.
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: Rutheford
scattering; basic properties of nuclei;
radioactive decay; nuclear forces; two
nucleon problem; nuclear reactions;
conservation laws; fission and fusion;
nuclear models; particle accelerators,
detectors; elementary particles; photons,
baryons, mesons and leptons; Quark model.
Electronics: Network analysis; semiconductor
devices; bipolar transistors; FETs; power
supplies, amplifier, oscillators;
operational amplifiers; elements of digital
electronics; logic circuits.
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