Ekeley E1B20, M/W/F 4:10-5:00 PM. In-person attendance is restricted due to COVID and will be announced on Canvas.

Syllabus, including general university policies

• Graded work (homework and exams) must be submitted as a scanned PDF on Canvas.

• Homework/exam solutions and recorded lectures will only be posted on Canvas. All other course material is freely available to the public.

• This course uses a holistic grading scheme.

Lecture Slides:

• 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)

Exams:

• Exam 1 (due October 1)

• Exam 2 (due November 10)

• Exam 3 (due December 11)

Practice Exams:

• Practice Exam 1

• Practice Exam 2

• Practice Exam 3