PHYS 4410

Fall 2020

Quantum Mechanics 2

Course Information:

• Lectures: MWF 4:10-5:00 PM, Ekeley E1B20
• In-person attendance is restricted due to COVID.
• Syllabus, including general university policies

Lectures:

• Lecture 1: Review: finite-dimensional systems
• Lecture 2: Review: free particles
• Lecture 3: Harmonic oscillator: introduction
• Lecture 4: Harmonic oscillator: algebraic solution
• Lecture 5: Harmonic oscillator: wave functions
• Lecture 6: Harmonic oscillator: series solutions
• Lecture 7: Coupled harmonic oscillators
• Lecture 8: Bosons and fermions
• Lecture 9: Exchange interactions
• Lecture 10: Many-body wave functions
• Lecture 11: The Fermi gas
• Lecture 12: Translation symmetry
• Lecture 13: Bloch's Theorem
• Lecture 14: Metals and insulators
• Lecture 15: Review: rotational symmetry
• Lecture 16: Angular momentum algebra
• Lecture 17: The hyperfine interaction
• Lecture 18: Addition of angular momenta
• Lecture 19: Clebsch-Gordan coefficients
• Lecture 20: The variational principle
• Lecture 21: The helium atom
• Lecture 22: The Born-Oppenheimer approximation
• Lecture 23: The Hartree-Fock approximation
• Lecture 24: Time-independent perturbation theory: introduction
• Lecture 25: Time-independent perturbation theory: non-degenerate, first order
• Lecture 26: Time-independent perturbation theory: non-degenerate, second order
• Lecture 27: Time-independent perturbation theory: degenerate
• Lecture 28: Fine structure of hydrogen
• Lecture 29: The Zeeman effect
• Lecture 30: Time-dependent perturbation theory
• Lecture 31: Fermi's golden rule
• Lecture 32: Spontaneous emission of radiation
• Lecture 33: Selection rules
• Lecture 34: The WKB approximation
• Lecture 35: The Bohr-Sommerfeld approximation
• Lecture 36: Quantum tunneling
• Lecture 37: Quantum metastable states
• Lecture 38: The adiabatic theorem

Homework:

• Homework 1 (due September 1)
• Homework 2 (due September 8)
• Homework 3 (due September 15), with Mathematica notebook for Problem 5
• Homework 4 (due September 24)
• Homework 5 (due October 6)
• Homework 6 (due October 13)
• Homework 7 (due October 22)
• Homework 8 (due October 27)
• Homework 9 (due November 3)
• Homework 10 (due November 24)
• Homework 11 (due December 1)
• Homework 12 (due December 6)

Practice Exams:

• Practice Exam 1
• Practice Exam 2
• Practice Exam 3

Exams:

• Exam 1 (due October 1)
• Exam 2 (due November 10)
• Exam 3 (due December 11)