This is the homepage for 3rd year advanced stream quantum mechanics.

The teaching assistant for this course is Alistair Milne.

There will be 4 quizzes to be held during Lectures 5, 11, 14, 16 (all on Thursdays). There will be 2 assignments and 1 final exam. The marks will be apportioned to 35% of the total module mark according to: 5/35 1st Assignment, 3.33/35 2nd Assignment (QP section), 10/35 Quizzes, and 16.66/35 Exam.

*Main text:* A Modern Approach to Quantum Mechanics, 2nd Edition, by John S. Townsend.

*Secondary texts:* Quantum Mechanics: A Paradigms Approach, by David McIntyre, Corinne A Manogue, and Janet Tate.

Quantum Mechanics with Applications to Nanotechnology and Information Science, by Yehuda B. Band and Yshai Avishai.

I will post lecture notes here as I finish them. I will try to post them before each class, but no promises.

- Week 1 Reading: Townsend 1.3, 1.6, 2.3, 2.4, 3.2, 4.1, 4.2, 6.1, 6.2, 6.3, 6.4, 6.9
- Pre-lecture / Lecture 01. Review of Dirac notation, operators, expectation values, and observables.
- Pre-lecture / Lecture 02. Time evolution and the Schroedinger equation. The Hamiltonian as the generator of time translations. Wavefunctions in infinite-dimensional Hilbert spaces; Position and Momentum Operators.
- Pre-lecture / Lecture 03. Uncertainty relations; Time-independent Schrödinger equation; Particle in a box.
- Week 2 Reading: Townsend 2.2, 3.1, 3.3, 3.4, 3.5, 3.6, 9.3, 9.5, 9.6
- Pre-lecture / Lecture 04. Introduction to wave mechanics in 3D; The generator of rotations; Angular momentum.
- Pre-lecture / Lecture 05. Angular momentum eigenstates; Ladder operators; Spin-1/2 systems.
- Pre-lecture / Lecture 06. Angular momentum in a 3D spherical system.
- Week 3 Reading: Townsend 9.8, 9.9, 10.1, 10.2, 11.1
- Pre-lecture / Lecture 07. Solving the Schrödinger Equation in a 3D radially symmetric potential; the spherical harmonics.
- Pre-lecture / Lecture 08. The Hydrogen atom; Radial wavefunctions; Hydrogenic wavefunctions; Hydrogen spectroscopy.
- Pre-lecture / Lecture 09. Nondegenerate Perturbation Theory.
- Week 4 Reading: Townsend 5.1, 5.2, 5.3, 11.2, 11.3, 11.5, 11.7, Appendix B.
- Pre-lecture / Lecture 10. Degenerate perturbation theory; The Stark effect.
- Pre-lecture / Lecture 11. Spin-orbit coupling; Fine structure.
- Pre-lecture / Lecture 12. Hyperfine structure; Addition of angular momentum; Clebsch-Gordan coefficients.
- Week 5 Reading: Townsend 12.1, 12.2, 14.1, 14.2, 14.4, 14.5.
- Pre-lecture / Lecture 13. Identical particles; Spin-statistics theorem; Helium atom; Exchange interaction.
- Pre-lecture / Lecture 14. The quantum Hamiltonian for classical EM fields; Zeeman splitting; Aharonov-Bohm effect.
- Pre-lecture / Lecture 15. Time-dependent perturbation theory; The interaction picture.
- Week 6 Reading: Townsend 14.6, 14.7, 14.9.
- Pre-lecture / Lecture 16. Fermi's golden rule.
- Pre-lecture / Lecture 17. Electric dipole approximation; Einstein A and B coefficients; Spontaneous Emission; Selection Rules.
- Week 7 Reading: Townsend 7.8, 14.8.
- Pre-lecture / Lecture 18. Harmonic oscillator redux: Coherent states, Quantum phase space.
- Pre-lecture / Lecture 19. Cat states; Cat codes (
*non-examinable*).