Quantum Mechanics (2025 Fall)

Course Syllabus (pdf file)

Quantum Mechanics

• Lecture 1: Review of Classical Physics and Old Quantum theory
• Supplement 1: On an Improvement of Wien's Equation for the Spetrum by M. Planck
• Lecture 2: Heisenberg's magic
• Lecture 3: The birth of Matrix mechanics
• Supplement 2: Heisenberg's paper and the interpretations
• Lecture 4: Wave mechanics
• Lecture 5: Mathematical description of fundanmental principles of quantum mechanics
• Lecture 6: 1D scattering problem
• Lecture 7: 1D harmonic oscillator -- coherent state!
• Lecture 8: Landau level and quantum Hall effect
• Lecture 9: Central force field
• Lecture 10: 2D/3D hydrogen atom -- Kepler's problem + 3D harmonic oscillator
• Lecture 11: Motion in the magnetic field -- Landau levels
• Lecture 12: Theory of angular momentum (I)
• Lecture 13: Addition of angular momentum
• Lecture 14: Runge-Lentz vector (elemetary knowledge)
• Lecture 15: Formal development on symmetry
• Lecture 16: Discrete symmetry: time-reversal and parity
• Lecture 17: Time-independent perturbation theory
• Lecture 18: Time-independent perturbation theory(II) - degenerate case
• Lecture 19: Quantum transition and Fermi golden rule
• Lecture 20: Time-dependent perturbation theory - 2 energy levels

Homework assignment

Homework 1: Due to Sept. 9 2025 in class

Homework 2: Due to Sept. 18 2025 in class

Homework 3: Due to Sept. 30 2025 in class

Homework 4: Due to Oct. 9 2025 in class

Homework 5: Due to Oct. 21 2025 in class

Homework 6: Due to Oct. 28 2025 in class

Homework 7: Due to Nov. 4 2025 in class

Homework 8: Due to Nov. 18 2025 in class