Unit III


 

Unit 3: Quantum Theory and its Applications

Basic principles: Wave – particle duality –Heisenberg’s uncertainty principle – Postulates of
quantum mechanics - Interpretation of wave function – Schordinger’s wave equation and its
application to particle in a box- Harmonic oscillator- tunneling through a barrier – Motion in
central field potential: Hydrogen atom –angular momentum and spherical harmonics –
Addition of two angular momenta – Approximate methods: Time independent perturbation
theory for non-degenerate case – application to anharmonic oscillator – time dependent
perturbation theory – Fermi’s golden rule - Scattering theory: Scattering amplitude – cross
section – Born approximation – Partial wave analysis – Identical particles and spin –
Symmetric and antisymmetric wave functions – Representation theory – Coordinate and
momentum representations.