Synopsis
1. Amplitudes
and quantum states
2. Dirac notation and the energy representation
3. Operators and observables
4. Compatible observables; expectation values
5. Position
representation; Heisenberg uncertainty relation
6. The
time-dependent Schroedinger equation;
7. Schroedinger equation in the position
representation
8.
Infinite square well; Finite square well
9. Split infinite square wells and tunneling
10. Potential step; resonant tunneling and Breit-Wigner
cross section
11. Harmonic oscillator I
12. Harmonic oscillator II
13. Transformations and symmetries in QM; Translations.
14. Good quantum numbers and symmetries; Parity
15. Rotations; Heisenberg picture and Heisenberg equations
of motion;
16.
Orbital angular momentum I
17. Orbital angular momentum II
18. Angular
momentum and magnetic moments
19. Stern-Gerlach experiment and spin
20. Composite systems I
21. Composite
systems II
22. Composite systems III
23. Addition of
angular momentum I
24.
Addition of angular momentum II
25. EPR experiment and Bell inequalities
26. Hydrogen Atom I
27. Hydrogen Atom II
|
Books
I find the following books useful:
- The Physics of
Quantum Mechanics: James Binney and David Skinner
(OUP) [co-authored by a previous lecturer of this
course; I will follow it fairly closely.]
- Modern Quantum Mechanics: J.J.
Sakurai (Addison-Wesley) [clear, modern and concise
but perhaps a bit too advanced.]
- The Principles of Quantum
Mechanics: P. A. M. Dirac (OUP) [a classic by the
great man himself, first published in 1930 and still
one of the best treatments out there.]
- Quantum Mechanics: Albert
Messiah (Dover) [book I used as an undergrad; not
bad.]
- Quantum Mechanics: L. D.
Landau and E. M. Lifshitz (Elsevier) [if you ever want
to pass the "Theoretical
Minimum" this is the book for you.]
- Quantum Mechanics: Eugen
Merzbacher (Wiley) [someone nicked my copy, I want it
back!]
Ask your tutor for further
recommendations.
Problem Sheets
Lecture Notes (these aim to be
self-contained and comprehensive)
|