Unit I : Origin of Quantum Theory Inadequacies of Classical Physics – Black body radiation and photoelectric effect- Planck’s hypothesis and explanation of black body radiation- Einstein’s explanation of photoelectric effect- Wave-particle duality- De Broglie’s hypothesis of matter waves- Concept of group velocity, phase velocity and their relationship- Experimental evidence for matter waves – Davisson and Germer experiment- G.P.Thomson’s experiment. Uncertainity principle.

Unit II : Development of Schrodinger Equation Basic postulates of quantum mechanics – Time independent and Time dependant Schrodinger's equation - Properties of wave function - Operator formalism – Energy, momentum and Hamiltonian operators - Interpretation of wave function - Probability density – Well behaved wave function -. Normalization - Linearity and Superposition Principles - Eigen values and Eigen functions - Expectation values- Probability current density- Ehrenfest theorem - Problem solving.

Unit III: Applications of Schrodinger Equation Applications of Schrodinger wave equation – Free particle - Box Normalization - Particle in a box- One dimensional infinite barrier potential well- Step potential well- Barrier Penetration problem: Phenomenon of tunneling - Rectangular potential well - Square well in three dimensions – Degeneracy - One dimensional harmonic oscillator - Rigid rotator- Hydrogen atom(Only qualitative description).

Unit IV : Quantum Statistics Limitations of classical statistics - Phase space- Phase cells- postulates of quantum statistics- indistinguishability - Bose-Einstein statistics – Derivation of distribution function - Application to Photon concept - Derivation of Planck’s radiation formula - Elementary idea of Bose-Einstein condensation Fermi Dirac statistics – Derivation of distribution function - Application of FD statistics to free electrons in metals – Fermi energy - Comparison of classical and quantum analytics.

Unit V : Theory of Relativity Limitation of Newtonian mechanics for velocities close to light - Galilean transformation and Newtonian relativity - Earth as an inertial frame of reference - Ether hypothesis - Speed of light - Michelson-Morley experiment - Einstein’s principle of relativity -Lorentz transformations - Time dilation and length contraction - Velocity addition theorem - Variation of mass with velocity - Relativistic momentum - Energy and momentum conservation-Relativistic energy - Mass energy equivalence - Doppler effect in light.