Course

Unit 1

Spin

Introduction, Nature of Spin, Kinematics of Spin, Spin Dynamics, Return of Orbital Degrees of Freedom

Unit 2

Addition of Angular Momenta

Example, The General Problem, Irreducible Tensor Operators, Explanation of Some accidental Degeneracies.

Variational and WKB Methods

The Variational Method, TheWentzel-Kramers-Brillouin Method.

Unit 3

Time-Independent Perturbation Theory: The Formalism, Some Examples, Degenerate Perturbation Theory Time-Dependent Perturbation Theory, First-Order Perturbation Theory, Higher Orders in Perturbation Theory, A General Discussion of Electromagnetic Interactions, Interaction of Atoms with Electromagnetic Radiation.

Unit 4

Scattering Theory

Introduction, Recapitulation of One-Dimensional Scattering and Overview, The Born Approximation (Time-Dependent Description), Born Again (The Time-Independent Approximation). The Partial Wave Expansion, Two-Particle Scattering.

Unit 5

The Dirac Equation

The Free-Particle Dirac Equation, Electromagnetic Interaction of the Dirac Particle, More on Relativistic Quantum Mechanics.

Text Books / References

Text Books:

1. R Shankar, Principles of Quantum Mechanics, Pearson Índia (LPE), 2E 2005
2. JJ Sakurai, Modern Quantum Mechanics, Pearson, lE, 1994

Reference Books:

1. S Gasiorowicsz, Quantum Physics, Wiley India, 2E
2. L I Schiff, Quantum Mechanics, TMH, 3E, 2010
3. David Griffiths, Introduction to Quantum Mechanics, Pearson India (LPE), 2E, 200

Course Outcomes

After completion of the course student should be able to:

• COl Understand different aspects of the angular momentum, spin algebra and solve Problems related to angular momentum.
• CO2 Apply the main approximation methods for stationary and time-dependent quantum mechanical problems.
• CO3 Understand scattering theory and solve problems related to scattering.