Advanced Quantum Mechanics

These notes are based on the book of J.J. Sakurai & Jim Napolitano, "Modern Quantum Mechanics"

• Lecture 1: Angular Momenta and Spin

• Lecture 2: Spin Precession and Rotation Operators

• Lecture 3: Addition of Angular Momenta

• Lecture 4: Spin and Orbital Angular Momenta Addition and Clebsch-Gordan Series

• Lecture 5: Tensor Operators and Wigner-Eckart Theorem

• Lecture 6: Continuous Symmetries in Quantum Mechanics

• Lecture 7: Discrete Symmetry: Parity

• Lecture 8: Lattice Discrete Translations, Anti-Unitary and Anti-Linear Operators

• Lecture 9: Time Reversal Discrete Symmetry

• Lecture 10: Time-Independent Perturbation Theory: Nondegenerate Case

• Lecture 11: Time-Independent Perturbation Theory: Degenerate Case

• Lecture 12: Relativistic Corrections and Fine Structure

• Lecture 13: Zeeman Effect and Van der Waals Interaction

• Lecture 14: Variational Methods and Interaction Picture

• Lecture 15: Magnetic Resonance and Extreme Time Dependences

• Lecture 16: Berry Phases & Aharonov-Bohm Effect

• Lecture 17: Time-Dependent Perturbation Theory