I. BASIC MATHEMATICAL METHODS
Vector algebra and vector calculus, matrices, tensors (elementary methods), Linear
differential equations, Fourier-series, Elementary complex analysis, Error analysis in
experiments.
II. CLASSICAL MECHANICS
Basic principles of classical dynamics, Lagrangian and Hamiltonian Formulations,
symmetries and conservation laws, Motion in a central force field, collisions and
scattering, wave motion, wave equation, phase velocity and group velocity, special theory
of Relativity-Lorentz transformations, mass-energy equivalence.
III. ELECTROMAGNETICS
Electrostatics - Laplace and Poisson equations, boundary value problems (simple cases),
magnetostatics - Ampere’s theorem, Biot-Savart law, time varying fields, Maxwell’s
equations and conditions at a Boundary, Scalar and vector potentials, Electromagnetic
waves, reflection and refraction at perfect conductor and dielectric, Rectangular
waveguides - TE and TM waves. Electro dynamics of a charged particle in electric and
magnetic fields, Poyting’s vector.
IV. THERMODYNAMICS AND STATISTICAL PHYSICS
Laws of thermodynamics , Thermodynamic potentials, Maxwell relations, Chemical
potential, Phase space - concept of ensembles, partition function, Classical and quantum
statistics, degenerate electron gas, black body radiation and Planck’s law, Bose-Einstein
condensation.
V. QUANTUM MECHANICS
Wave particle duality, uncertainity principle, Schrodinger equation, particle in a box,
Harmonic oscillator, Quantum mechanical tunneling, Orbital angular momentum,
Angular momentum algebra, Spin, Addition of angular momenta, Schrodinger,
Heisenberg and interaction pictures.
Matrix representation, Dirac’s bra and ket notation , Hydrogen atom, Spin – orbit
coupling, Fine structure, Variational method, Time independent perturbation theory.
VI. ELECTRONICS
Physics of p-n junctions, Diode and a circuit element, clipping, clamping and
rectification, Regulated power supply, Transistor and a circuit element, CC, CE and CB
configurations, Feedback in amplifiers. FET. Operational amplifier and its applications -
inverting and non-inverting amplifiers, Adder, Integrator, Differentiator, Oscillators.
Transistor as a switch, OR, AND and NOT gates, Digital integrated circuits – NAND
and NOR as universal building blocks, X-OR gates, simple combinational circuits. Half
& full adder, Flip-Flops, Shift-registers and counters, A/D and D/A converters.
Opto electronic devices including solar cells, Photo detectors and LEDs. Communication
- analog and digital, modulation - elementary ideas of amplitude, frequency and phase
modulation. Demodulation. Space communication - Satellite communication. Line
communication and Optical communication.
VII. ATOMIC AND MOLECULAR PHYSICS
Spectra of hydrogen atom, hydrogen - like ions, spin - orbit interaction, fine structure,
hyper fine structure, two electron systems - LS and jj couplings, Zeeman, Paschen - Back
effects, Stark effect (One electron only)
Principles of light emissions and absorption, spontaneous and stimulated emission,
Einstein’ A and B coefficients, Lasers. Rotational spectra of molecules, vibrational
spectra, rotational - vibrational spectra, electronic spectra of molecules - Franck - Condon
principle - IR and Raman spectra - elementary ideas of NMR, ESR and Mossbauer
spectroscopy.
VIII. CONDENSED MATTER PHYSICS
Crystal classes and systems, Crystal structure, X-ray diffraction methods, Bragg and Laue
defraction, structure factor, reciprocal lattice. Lattice vibrations of monoatomic and
diatomic lattices, phonons, specific heat of solids. Free electron theory, Fermi-Dirac
statistics of electron gas , Specific heat of solids - Einstein’s and Debye’s models.
Electron motion in periodic potential, band theory - metals, insulators and
semiconductors. Electrical conductivity, Hall effect. Dielectrics - polirization
mechanisms, Piezo, pyro and ferro electricity, Dia and para magnetisms. Super
conductivity - Meissner effect, Type I and Type II super conductors. Cooper pairs, BCS
theory (elementary ideas).
IX. NUCLEAR AND PARTICLE PHYSICS
Basic nuclear properties - size, shape, charge distribution, spin and parity. Characterestis
of nuclear force, Deuteron problem. Radioactivity. Nuclear reactions, elementary ideas of
reaction mechanism, compound nucleus. Nuclear fission - neutrons released in fission,
cross sections, liquid drop models, semi - empirical mass formula. Principles of Nuclear
Fusion. Nuclear shell model.
Interaction of radiation with matter, particle detectors - GM counter, ionisation chamber,
scintillation counter.
Particle physics - symmetries and conservation laws, classification and properties,
isospin, strangeness, Elementary ideas of Quark model.
No comments:
Post a Comment