Contents

Identical Particles

Schrodinger Wave Equation
Symmetric and Antisymmetric Wavefunction
Classes of identical Particles
Systems of Identical Particles
Exchange or Permutation Operator
Exchange Degeneracy
A System of Identical Noninteracting Particles
Pauli Exclusion Principle
Second Quantization
Matrix representation of Kets and Bras
Review Questions and Problems

Approximation Methods

Perturbation Theory
Time Independent Non-degenerate Perturbation
Time Independent Degenerate Perturbation
Variational Principle
Wentzel Kramer's Brillouin (WKB) Method

Time Dependent Perturbation Theory

Time Evolution of a System
Time Dependent Perturbation Theory
Transition Probability

Transition Probability for a Constant Perturbation
Transition Probability for a Harmonic Perturbation

Interaction of Atoms with Radiation
Selection Rules
spin of Photon and its Helicity
Review Questions and Problems

Scattering Theory

Classical Scattering Theory
Quantum Scattering Theory
Partial Waves Analysis
The Born Approximation
Frame of References
Review Questions and Problems

Relativistic Quantum Mechanics

Non-relativistic and Relativistic and Relativistic Quantum Mechanics
Klein-Gordon Equation
Free Particle Solution of K-G Equation
The Equation of Continuity
Limitations of Klein-Gordon Equation
Dirac Equation
Hole Theory
Review Questions and Problems

Application to Quantum Mechanics 

The Fine Structure of Hydrogen Atom

Spin-Orbit Coupling
Relativistic Correction

The Zeeman Effect (1896)

Weak Field Zeeman Effect
Strong Field Zeeman Effect
Intermediate Field Zeeman Effect

Review Questions and problems