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

Classical Mechanics : Conservation laws; central forces, Kepler problem and planetary motion; collisions and scattering in laboratory and centre of mass frames; Variational principle; Lagrange’s and Hamilton’s formalisms; equation of motion, cyclic coordinates, Poisson bracket; periodic motion, small oscillations.

Electromagnetic Theory : Solution of electrostatic and magnetostatic problems including boundary value problems; Maxwell’s equations; Electromagnetic waves and their reflection, refraction, interference, diffraction and polarization. Poynting vector, Poynting theorem, energy and momentum of electromagnetic waves. Special theory of relativity – Lorentz transformations, relativistic kinematics, mass-energy equivalence. Compton Effect.

Atomic and Molecular Physics : Spectra of one- and many-electron atoms; Stern-Gerlach experiment, LS and JJ coupling; hyperfine structure; Zeeman and Stark effects; electric dipole transitions and selection rules; rotational and vibrational spectra of diatomic molecules; electronic transition in diatomic molecules, Franck-Condon principle; Raman effect; NMR and ESR; Lasers-spontaneous and stimulated emission, optical pumping, population inversion, coherence (temporal and spatial) simple description of Ruby laser, CO2 and He-Ne Lasers, optical fibers.

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.

Quantum Mechanics : Wave-particle duality; 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.

Structure of Materials : Crystal classes and systems, 2d & 3d lattices, Bonding of common crystal structures, unit cells, Miller indices, reciprocal lattice, diffraction methods for structure determination; Concept of amorphous, single and polycrystalline structures and their effect on properties of materials. Crystal growth techniques, elastic properties of solids; defects in crystals; lattice vibrations and thermal properties of solids; crystal growth techniques, imperfections in crystalline solids and their role in influencing various properties.

Electronic Properties, and Devices : Free electron theory of metals, Band theory of solids – metals, semiconductors and insulators, electrical conductivity, effect of temperature on conductivity, intrinsic and extrinsic semiconductors, Hall effect, effective mass of electron and hole in semiconductor, p-n junction, Photo diode, Solar cell, 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.

Magnetic Properties : Magnetism in materials - diamagnetism, paramagnetism, ferromagnetism, antiferromagnetism, ferrimagnetism, magnetic hysteresis, Domain structure.

Dielectric properties : Polarization mechanisms, Dielectric constant, dielectric loss.

Mechanical Properties : Stress-strain diagrams of materials, modulus of elasticity, yield strength, tensile strength, toughness, elongation, plastic deformation.

Advanced Materials : Materials exhibiting ferroelectric, piezoelectric, optoelectronic, semiconducting behavior, photoconductivity and superconductivity, high Tc superconductors, nanomaterials.

Characterization techniques: X-ray diffraction, scanning electron microscopy, differential scanning calorimetry.

Please refer official website for more details