| 01/05 |
Review of measurements. (notes) (supplement) |
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PH 451 WS 1 (PH 551 WS 1) |
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| 01/07 |
Review of basic quantum systems. (notes)
| HW 1 PH451 (solutions) (HW 1 PH551 (solutions)) |
PH 451 WS 2 (PH 551 WS 2) WS 2 analysis |
Review questions |
| 01/09 |
Review: inifinite and finite well. Energy spectra and wavefunctions in arbitrary potential. (notes) |
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WS 3 WS 3 analysis |
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| 01/12 |
Harmonic oscillator: number representation. Raising and lowering operators. (notes)
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Reading: Ch. 9.1, 9.2. HW 2 PH451 (solutions) (HW 2 PH551 (solutions)) |
WS 4 (PH 551 WS 4) WS 4 analysis |
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| 01/14 |
Harmonic oscillator: energy spectrum and ladder operators.(notes) |
Reading: Ch. 9.2-9.3. |
WS 5 (PH 551 WS 5) WS 5 analysis |
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| 01/16 |
Harmonic oscillator: position representation, expectation values. (notes) |
Reading: Ch. 9.4-9.7. |
WS 6 (PH 551 WS 6) WS 6 analysis |
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| 01/19 |
no class: Martin Luther King day |
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| 01/21 |
Harmonic oscillator: uncertainty relations, measurements. (notes) |
Reading: Ch. 9.1-9.7. HW 3 PH451 (solutions) (HW 3 PH551 (solutions)) |
WS 7 (PH 551 WS 7) WS 7 analysis |
papers for HW3: H. O. in quantum optics, H.O. in ion trapping |
| 01/23 |
Harmonic oscillator: time dependence and applications. (notes) (supplement) |
Reading: Ch. 9.8-9.9. |
WS 8 (PH 551 WS 8) WS 8 analysis |
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| 01/26 |
Time-independent perturbation theory: non-degenerate case, first-order energy correction. (notes) |
Reading: Ch. 10.1-10.3. |
WS 9 (PH 551 WS 9) WS 9 analysis |
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| 01/28 |
Time-independent perturbation theory: non-degenerate case, first-order state correction. (notes) (supplement) |
Reading: Ch. 10.3-10.4. HW 4 PH451 (solutions) (HW 4 PH551 (solutions)) |
WS 10 (PH 551 WS 10) WS 10 analysis |
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| 01/30 |
Time-independent perturbation theory: non-degenerate case, second-order energy correction. (notes) (supplement) |
Reading: Ch. 10.1-10.4. |
WS 11(PH 551 WS 11) WS 11 analysis |
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| 02/02 |
Time-independent perturbation theory: degenerate case. (notes) (supplement) |
Reading: Ch. 10.5. |
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| 02/04 |
Degenerate perturbation theory: example - linear Stark effect. (notes) (supplement) |
Reading: Ch. 10.5-10.6. Also: review Ch. 7-8 and finding eigenvalues and eigenvectors in matrix representation. |
WS 12(PH 551 WS 12) WS 12 analysis |
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| 02/06 |
Degenerate perturbation theory: hyperfine structure of the hydrogen atom. (notes) (supplement) |
Reading: 11.1-11.3. |
WS 13(PH 551 WS 13) WS 13 analysis |
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| 02/09 |
Angular momentum ladder operators. Hyperfine perturbation. (notes) |
Reading: 11.3-11.4. (Also: preparation for midterm: Ch. 9; 10.1-10.4, HW1-4, WS1-11) |
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| 02/11 |
Midterm |
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| 02/13 |
Hyperfine interaction: uncoupled basis solution. (notes) |
Reading: 11.4.HW 5 PH451 (solutions) (HW 5 PH551 (solutions)) |
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| 02/16 |
Hyperfine interaction: coupled basis solution. Addition of angular momenta. (notes) |
Reading: 11.5. |
WS 14WS 14 analysis |
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| 02/18 |
Addition of angular momenta: general formalism. (notes) |
Reading: 11.6. | WS 15WS 15 analysis |
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| 02/20 |
Addition of angular momenta: Clebsch-Gordan coefficients. (notes) |
HW 6 (same for PH 451 and 551) (solutions) |
WS 16(PH 551 WS 16) WS 16 analysis |
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| 02/23 |
Properties of C.-G. coefficients. Spectroscopic notation. (see notes for 02/18-02/20) |
Reading: Ch. 11. |
WS 17WS 17 analysis |
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| 02/25 |
Fine structure of the hydrogen atom. (notes) |
Reading: Ch. 12.1-12.2. HW 7 (same for PH 451 and 551) (solutions) |
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| 02/27 |
Hydrogen atom in magnetic fields: Zeeman effect.(notes) |
Reading: Ch. 12.2-12.3. |
WS 18 (PH 551 WS 18) WS 18 analysis |
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| 03/02 |
Zeeman effect (ctd.) (see notes for 02/27). |
Reading: Ch. 12.3. |
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| 03/04 |
Identical particles.(notes) |
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| 03/06 |
Two identical particles in one dimension.(notes) |
Reading: Ch. 13.1-13.2. HW 8 (same for PH 451 and 551) (solutions) |
WS 19 WS 19 analysis |
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| 03/09 |
Helium atom:ground state.(notes) |
Reading: Ch. 13.3-13.4. |
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| 03/11 |
Helium atom:excited states. (see notes for 03/09) |
Reading: Ch. 13.4. |
WS 20 WS 20 analysis |
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| 03/13 |
Time-dependent perturbation theory.(notes) |
Reading: 14.1-14.2. Final exam: Thursday, March 19, 9:30-11:30 am, Weniger 328: open book, no electronic devices. |
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