Physics 139B UCSC
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Lecture Notes
Lecture 19, Dec 5: Adiabatic theorem, Berry’s phase, AB effect
Lecture 18, Dec 3: Born approximation
Lecture 17, Nov 26: Partial wave analysis
Correction: Missing $4\pi$ (red) inserted into Eq. 17.27.—11:59AM, Dec 05, 2013
Lecture 16, Nov 21: Scattering
Corrections: Page 5, the 6th line from bottom: differential → total. Page 6, the 2nd line of Sec 16.3: energy is omitted.—1:31PM, Nov 21, 2013
Lecture 15, Nov 19: The absorption and emission of photon; Stimulated emission
Lecture 14, Nov 14: The interaction of light and matter
Addition: "(except at one point, the origin)" added 3 lines below Eq. 14.10.—2:27PM, Dec 05, 2013
Lecture 13, Nov 12: Time-dependent perturbation (Fermi’s golden rule)
Changes: Points 2,3 of page 5.—2:57AM, Nov 12, 2013
Lecture 12, Nov 7: The two level problem with $\hat H(t)$
Lecture 11, Oct 31: The Bohr-Sommerfeld quantization rule
Lecture 10, Oct 29: The WKB (Wentzel, Kramers, Brillouin) approximation
Lecture 9, Oct 24: Variational principle
Lecture 8, Oct 22: Hydrogen-like atom (cont.)
Corrections: Quite a few small corrections after proof-reading.—12:37PM, Oct 22, 2013
Lecture 7, Oct 17: Hydrogen-like atom
Addition: Page 8, a new paragraph at the end of Section 7.4.—2:50PM, Oct 28, 2013
Corrections: Page 8, before Eq. 7.13: $m_e^4c^4 \rightarrow m_e^2c^4$, and $m_ec^4 \rightarrow m_ec^2$.—1:10PM, Oct 24, 2013
Additions: Footnotes 7 and 8.—12:07PM, Oct 22, 2013
Lecture 6, Oct 15: Symmetry
Addition: A note added in page 9.—6:39PM, Oct 14, 2013
Correction: Section 6.3.3 is revised, to explicitly add vector notations for the angular momentum vectors, and an important correction: “total spin” → “total angular momentum” in the second paragraph.—4:46PM, Oct 10, 2013
Lecture 5, Oct 10: Time-independent perturbation—examples for the degenerate case—and Symmetry
Lecture 4, Oct 8: Time-independent perturbation: examples for the non-degenerate case and the theory for the degenerate case
Addition: Footnote 4: the word “topology” is added to reflect many recent research results on topological effects.—4:23PM, Oct 10, 2013
Lecture 3, Oct 3: Perturbation theory (time-independent, non-degenerate)
Lecture 2, Oct 1: Representation, Symmetry
Change: Page 14: Notations in the Bart box are consistent with the lecture, now.—1:33PM, Oct 03, 2013
Lecture 1, Sep 26: QM Formalism