Quantum Mechanics ll

UNIT-I Paper Code: PHY 521  WKB approximation  Quantisation rule  Tunnelling through a barrier  Qualitative discussion on α-decay  Time dependent perturbation theory and transition probability. UNIT-II  Laboratory and centre of mass frames  Differential and total scattering cross section  Scattering amplitude  Scattering by spherically symmetric potentials  Partial wave analysis and phase shifts  Scattering by a rigid sphere and square well  Coulomb scattering  Formal theory of scattering – Green function in scattering theory  Lippman- Schwinger equation  Born Approximation. UNIT-III  Meaning of identity and consequences  Symmetric and anti symmetric wave functions  Slater determinant  Symmetric and antisymmetric spin wavefunctions of two identical particles  Collision of identical particles UNIT-IV  Ladder operators  Eigen values and Eigenfunctions of L2 and Lz PHYSICS CHE521: QUANTUM MECHANICM PG SEMESTER:- II, PAPER: - V Using spherical harmonics  Angular momentum and rotations  Total angular momentum J  L-S coupling; eigenvalues of J2 and Jz  Addition of angular momentum  Clebsch- Gordan coefficients for j1= j2=1/2 and j1=1, j2=1/2  Coupled and uncoupled representation of eigenfunctions  Angular momentum matrices  Pauli spin matrices  Spin eigenfunctions  Free particle wavefunctions including spin  Addition of two spins. UNIT-V  Klein – Gordon equation  Feynman-Stuckelberg interpretation of negative energy states and concept of antiparticles  Dirac equation  Covariant form  Adjoint equation  Plane wave solution and momentum space spinors  Spin and magnetic moment of the electron  Non relativistic reduction.  Helicity and chirality  Properties of γ matrices  Charge conjugation  Normalisation andcompleteness of spinors.

By Ravibhushan Kumar
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