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EPL202 –Quantum Mechanics and its applications
Topics
Formalism of Quantum Mechanics
State Vectors and Operators and their representation. Wave function and the
Born interpretation
Fundamental postulates of Quantum Mechanics:
Uncertainty Principle
Stationary and Time dependent Schrodinger Equation. Unitary evolution
Probability density and probability current.
Schoredinger and Heisenberg Picture
Examples of Schoredinger Equation
Bound State Scattering State, Harmonic Oscillator, Hydrogen atom
Quantum Mechanical Theory of Angular momentum
Symmetry in Quantum mechanics. Rotational Symmetry. Commutation
relations between angular momentum operators. Spin. Addition of angular
momentum and Clebsch- Gordon coefficient
Perturbation theory
Stationary Perturbation theory. Stark Effect. Zeeman Effect. Spin Orbit
Coupling
Time dependent Perturbation theory. Fermi’s Golden Rule. Adiabatic and
Sudden approximation.
Identical Particles:
Permutation Symmetry
Symmetric and anti-symmetric many body wave function. Slater determinant
Pauli exclusion principle
No of Lectures
(tentative)
6
6
8
7
6
5
If time permits the some of the following topics may be covered in the remaining 4-5
lectures. Entanglement Qubit. Bell’s state
Macroscopic Wave function and Bose Einstein Condensation
Text:
Lectures on Quantum Mechanics A K Das Hindusthan Book Agency
Principles of Quantum Mechanics : R. Shankar Springer ( Indian Edition)
Modern Quantum Mechanics J. J. Sakurai
References:
Principles of Quantum Mechnaics P. A. M. Dirac
Quantum Mechanics – Ballentine
Introduction to Quantum Mechanics D. J. Griffith
Feynman Lectures: Volume III
The course coordinator will provide additional reading material if required.
Marking 25 (minor I) + 25(minor2) + 40 (major) + 10 (Quiz etc) Passmarks -40