Syllabus for Physics (PH)
Linear vector space; matrices; vector calculus; linear
differential equations; elements of complex analysis; Laplace transforms,
Fourier analysis, elementary ideas about tensors.
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;
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; special theory of relativity
- Lorentz transformations, relativistic kinematics, mass-energy equivalence.
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.
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
momenta; time independent perturbation theory; elementary scattering theory.
Thermodynamics and Statistical Physics:
Laws of thermodynamics; macrostates 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;
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
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.
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
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