Teaching

1. Graduate Quantum Mechanics I (PHY 651)-Fall 2022, Fall 2023

Course content: 

• A thorough study of the linear vector space, Hilbert space, Dirac notation, and eigenvalue problems including diagonalization. 

• Review of classical mechanics (Poisson bracket, Lagrange, and Hamiltonian EOM). 

• The postulate of QM, time-dependent and independent Schrodinger equation. 

• Various potential problems including particle in a box, step potential, attractive delta potential, and simple harmonic oscillator. 

• Second quantization 

• Angular momentum algebra: A general formalism of angular momentum, orbital and spin angular momentum. 

• 3D problems in spherical coordinates -- electron in a central potential. 

• The addition of angular momenta and the Clebsch-Gordan coefficient. 

• Introduction of quantum entanglement.

Textbooks:

R. Shankar, Principles of Quantum Mechanics, 2nd Edition from Springer 

Quantum Mechanics -Concept and Application by N. Zettili from Wiley