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The path we'll take. (Photo courtesy of Richard Farmer) |
Here is the course syllabus.
| Week | Topic | Reading | Homework | Discussion |
| Jan 18 | Introduction & classical issues. | S: 3, (S: 2 optional) | -- none -- | Solution 1 |
| Jan 25 | Schrödinger's equation. Wave function & probability. Expectation values. |
S: 4.3 S: 4.2 (pp. 127-129) G: 1.1-1.5 |
HW1 | Solution 2 |
| Feb 1 | 1 dimension: Free particle. Square well. Probability current. Superpositions. x & p distributions. |
S: 5.1-5.3 G: 2.1-2.2, 2.4 G: Fourier transform (see index) |
HW2 | Solution 3 |
| Feb 8 | Finite square well Harmonic oscillator (part 1). Steps and barriers. Scattering. |
G: 2.6 S: 5.4, 7.1-7.3 (to p.198) G: 2.3.2 |
HW3 | Solution 4 |
| Feb 15 | Classical limit. Formalism: Vector spaces. |
S: 5.6, 6 S: 1.1-1.4 |
HW4 | Solution 5 |
| Feb 22 | Matrices & operators. Eigenfunctions & eigenvalues. Unitary & Hermitian operators. |
S: 1.5-1.10 G: 3.1-3.2, 3.4, 3.6, Appendix |
HW5 | Solution 6 |
| Mar 1 | QM postulates. Commutators & uncertainty principle. |
S: 4.1-4.3 (skip pp. 133-134), 9 G: 1.6,3.3,3.5 |
HW6 | Solution 7 |
| Mar 8 | Midterm solution Symmetry & cons. laws. |
No new reading S: 6 |
HW7 | -- none -- |
| Mar 15 | Harmonic oscillator (part 2). | S: 7.3-7.5 (from p.197) G: 2.3 (to p. 51) |
HW8 | Solution 8 |
| Mar 22 | Spring Break | |||
| Mar 29 | 2 and 3 dimensions: 3D square well & oscillator. Angular momentum. |
S: 10.2, 12.1-5 (to p. 329) G: 4.3 |
HW9 | Solution 9 |
| Apr 5 | Angular momentum. Spherical harmonics. |
S:12.5 (from p. 333) G: 4.1 |
HW10 | Solution 10 |
| Apr 12 | Coulomb potential (H atom). | S: 13.1-3 G: 4.2 |
HW11 | Solution 11 |
| Apr 19 | Spin ½. Pauli matrices. Spin precession in a B field |
S: 14.1-3 (to p. 383) G: 4.4 S: 14.4 (to p. 392) |
HW12 | Solution 12 |
| Apr 26 | H atom with spin Free particle in B field |
S: 14.5 G: 4.5 S: Exercise 12.3.8 (p. 317) |
HW13 | Solution 13 |
| May 3 | Review | Reading | HW14 due May 4 |
Solution 14 |
| Final exam: 1:30 - 4:30 PM, Friday, May 6 (in 136 and 137 Loomis) - Solution | ||||