| 09/23 |
Review of measurements. (notes) (supplement) |
Reading: Ch. 1-8. |
PH 451 WS 1 (PH 551 WS 1) WS 1 analysis |
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| 09/25 |
Review of basic quantum systems: free particle, infinite well. (notes)
| HW 1 PH451 (solutions) (HW 1 PH551 (solutions)) |
PH 451 WS 2 (PH 551 WS 2) WS 2 analysis |
Review questions |
| 09/28 |
Review: finite well. Energy spectra and wavefunctions in arbitrary potential. Harmonic oscillator. (notes) |
Reading: Ch. 9.1. |
WS 3 WS 3 analysis |
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| 09/30 |
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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| 10/02 |
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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| 10/05 |
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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| 10/07 |
Harmonic oscillator: uncertainty relations, measurements, time dependence. (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 |
| 10/09 |
Harmonic oscillator: applications. (supplement) |
Reading: Ch. 9.8-9.9. |
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| 10/12 |
Time-independent perturbation theory: non-degenerate case, first-order energy correction. (notes) |
Reading: Ch. 10.1-10.3. |
WS 8 (PH 551 WS 8) WS 8 analysis |
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| 10/14 |
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 9 (PH 551 WS 10) WS 9 analysis |
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| 10/16 |
Time-independent perturbation theory: non-degenerate case, second-order energy correction. (notes) (supplement) |
Reading: Ch. 10.1-10.4. |
WS 10(PH 551 WS 10) WS 10 analysis |
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| 10/19 |
Time-independent perturbation theory: degenerate case. (notes) (supplement) |
Reading: Ch. 10.5. Also: review Ch. 7-8 and finding eigenvalues and eigenvectors in matrix representation. |
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| 10/21 |
Degenerate perturbation theory: example - linear Stark effect. (notes) (supplement) |
Reading: 10.5-10.6. HW 5 PH451 (solutions) (HW 5 PH551 (solutions)) |
WS 11(PH 551 WS 11) WS 11 analysis |
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| 10/23 |
Degenerate perturbation theory: hyperfine structure of the hydrogen atom. Angular momentum ladder operators. (notes) (supplement) |
Reading: 11.1-11.3. |
WS 12(PH 551 WS 12) WS 12 analysis |
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| 10/26 |
Hyperfine perturbation. (notes) |
Reading: 11.3-11.4. |
WS 13(PH 551 WS 13) WS 13 analysis |
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| 10/28 |
Hyperfine interaction: uncoupled basis solution. (notes) |
Reading: 11.4.HW 6 (same for PH451 and PH551) (solutions) |
WS 14(PH 551 WS 14) WS 14 analysis |
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| 10/30 |
Hyperfine interaction: coupled basis solution. Addition of angular momenta. (notes) |
Reading: 11.5. |
WS 15WS 15 analysis |
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| 11/02 |
Addition of angular momenta: general formalism. (notes) |
Reading: 11.6. | WS 16WS 16 analysis |
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| 11/04 |
Addition of angular momenta: Clebsch-Gordan coefficients. (notes) |
Preparation for midterm: Ch. 9; 10, 11.1-11.4, HW1-5, WS1-13 |
WS 17(PH 551 WS 17) WS 17 analysis |
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| 11/06 |
Midterm |
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| 11/09 |
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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| 11/11 |
No class: Veteran's Day |
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| 11/13 |
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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