UNIT 1:Special theory of relativity: Reference frames, inertial systems and Galilean transformations- introduction, postulates of special theory of relativity, Michelson-Morley experiment and itsconsequences, Lorentz transformations, Length contraction, Time dilation, relativistic velocity addition, simultaneity, relativistic Energy and momentum, massenergy equivalence, particles with zero rest mass, relativistic Doppler effect.UNIT 2:Origin of quantum theory of radiation: Black body radiation, photo-electric effect, Compton Effect pair production and annihilation, De-Broglie hypothesis, description of waves and wave packets, group velocities. Evidence for wave nature of particles: Davisson-Germer experiment, Heisenberg uncertainty principle.UNIT 3:Quantum mechanics: Wave function, Probability density, expectation values – Schrodinger equation time dependent and independent, Linearity and superposition, expectation values, operators, Eigen functions and Eigen values, Application of 1D Schrodinger Wave equation: Free particle, Particle in a box, Finite potential well, Tunnel effect, Harmonic oscillator. Quantum theory of the hydrogen atom. Schrodinger wave equation in spherical coordinates, separation of variables, quantization of energy and orbital angular momentum,UNIT 4:Statistical distributions – Maxwell Boltzmanns statistics – molecular energies in an ideal gas – Quantum statistics – Rayleigh Jeans formula, – Plancks radiation law – Free electron in a metal, – Electron energy distribution – Specific heat of solids – Evolution of stars.UNIT 5:Many-electron atoms: Electron Spin, exclusion principle, symmetric and antisymmetric wave functions, Many-electron atoms, atomic structures, Spin-Orbit Coupling, total angular momentum, X- ray Spectra.
