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= Lecture Notes = == Lecture Notes ==

 * '''Lecture 19''', ~-Dec 6-~: <<la("L19-Adiabatic-theorem+.pdf", "Adiabatic theorem, Berry phase, Gauge invariance, Aharanov-Bohm effect")>>
 {{{#!wiki comment
 * <<color("Addition:")>> Page 5: some comments (red; related to HW 8.6). &ndash; ~-''<<DateTime(2012-12-07T13:30:26-0800)>>''-~
 }}}


 * '''Lecture 18''', ~-Dec 4-~: <<la("L18-Born-approximation.pdf", "Born approximation")>>

 * '''Lecture 17''', ~-Nov 29-~: <<la("L17-Partial-wave-analysis.pdf", "Partial wave analysis")>>
 {{{#!wiki comment
 * <<color("Correction:")>> Eq. 17.31, additional numerical factor (red). Thanks, ES and CD! &ndash; ~-''<<DateTime(2012-12-04T22:00:00-0800)>>''-~
 }}}

 * '''Lecture 16''', ~-Nov 27-~: <<la("L16-Scattering.pdf", "Scattering")>>
 {{{#!wiki comment
 * <<color("Addition:")>> Footnote 5. Also, $\vec{r} \rightarrow r$ in Eq. 16.4. &ndash; ~-''<<DateTime(2012-11-29T08:48:42-0800)>>''-~
 }}}

 * '''Lecture 15''', ~-Nov 20-~: <<la("L15-Emission-Absorption.pdf", "Absorption and emission of photon")>>
 {{{#!wiki comment
 * <<color("Addition:")>> Page 2: discussion on Fermi's golden rule (''not'' red). &ndash; ~-''<<DateTime(2012-12-03T09:57:20-0800)>>''-~
 * <<color("Addition:")>> Section 15.8 is significantly re-vamped (''not'' red). &ndash; ~-''<<DateTime(2012-11-27T12:05:44-0800)>>''-~
 * <<color("Addition:")>> "including" (red) in footnote 7. &ndash; ~-''<<DateTime(2012-11-22T10:12:38-0800)>>''-~
 }}}

 * '''Lecture 14''', ~-Nov 15-~: <<la("L14-Light-and-matter.pdf", "Interaction of light and matter")>>
 {{{#!wiki comment
 * <<color("Addition:")>> A qualifying clause right before Eq. 14.14. &ndash; ~-''<<DateTime(2012-11-30T11:06:07-0800)>>''-~
 * <<color("Correction:")>> Comment on Eq. 14.13 (red). &ndash; ~-''<<DateTime(2012-11-21T06:15:13-0800)>>''-~
 }}}

 * '''Lecture 13''', ~-Nov 13-~: <<la("L13-Perturbation-TD.pdf", "Time dependent perturbation theory")>>
 {{{#!wiki comment
 * <<color("Correction:")>> Page 6, just above Eq. 13.15, second &rarr; first, 13.9 &rarr; 13.7. Thanks, C.D.! &ndash; ~-''<<DateTime(2012-11-26T09:07:51-0800)>>''-~
 * <<color("Addition:")>> Just above Eq. 13.33, "incoherent." &ndash; ~-''<<DateTime(2012-11-19T09:42:15-0800)>>''-~
 * <<color("Correction:")>> Eq. 13.20 (factor 4 removed). &ndash; ~-''<<DateTime(2012-11-19T07:09:48-0800)>>''-~
 * <<color("Correction, addition:")>> $V_{if}$ for Eq. 13.29, and the rest. Eq. 13.30 added. &ndash; ~-''<<DateTime(2012-11-17T17:20:04-0800)>>''-~
 }}}

 * '''Lecture 12''', ~-Nov 8-~: <<la("L12-Two-Level-Problem-TD.pdf", "Two level problem (general, with time-dependent Hamiltonian)")>>
 {{{#!wiki comment
 * <<color(Note:)>> Section 12.1 and footnote 2 ''renormalize'' the classroom discussion of "youth and age" or "life and death" "example."
 }}}
 * '''Lecture 11''', ~-Nov 1-~: <<la("L11-WKB.pdf", "WKB approximation (cont.)")>>
 {{{#!wiki comment
 * <<color(Correction:)>> page 11: "lifetime" more carefully defined. &ndash; ~-''<<DateTime(2012-11-01T12:48:19-0700)>>''-~
 }}}
 * '''Lecture 10''', ~-Oct 30-~: <<la("L10-WKB.pdf", WKB approximation)>>
 {{{#!wiki comment
 * <<color(Addition:)>> page 7: reference to a diagram for connection formulae (red). &ndash; ~-''<<DateTime(2012-11-14T17:20:32-0800)>>''-~
 * <<color(Correction:)>> page 2: thermionic &rarr; cold. &ndash; ~-''<<DateTime(2012-10-31T15:34:17-0700)>>''-~
 }}}
 * '''Lecture 9''', ~-Oct 25-~: <<la("L09-Variational-Principle.pdf", Variational principle)>>
 * '''Lecture 8''', ~-Oct 23-~: <<la("L08-Hydrogen-like-atom.pdf", Hydrogen-like atom)>>
 {{{#!wiki comment
 * <<color("Revision, addition:")>> Paragraph 2 of Section 8.2.1. Footnote 2. &ndash; ~-''<<DateTime(2012-10-23T12:18:02-0700)>>''-~
 }}}
 * '''Lecture 7''', ~-Oct 18-~: <<la("L07-Symmetry-Hydrogen-like-atom.pdf", "Symmetry, Hydrogen-like atom")>>
 {{{#!wiki comment
 * <<color(Correction:)>> Eq. 7.15, negative sign. &ndash; ~-''<<DateTime(2012-10-22T11:10:21-0700)>>''-~
 * <<color(Additions:)>> Footnote 4 (page 4). $\hat P_z$ (page 5). &ndash; ~-''<<DateTime(2012-10-19T09:04:22-0700)>>''-~
 }}}
 * '''Lecture 6''', ~-Oct 16-~: <<la("L06-Symmetry.pdf", "Symmetry")>>
 {{{#!wiki comment
 * <<color(Polished:)>> Page 16 (red). &ndash; ~-''<<DateTime(2012-10-18T15:17:32-0700)>>''-~
 * <<color(Expanded:)>> Page 14: Box content. &ndash; ~-''<<DateTime(2012-10-17T09:50:38-0700)>>''-~
 * <<color(Correction:)>> Pages 9, 14: Symmetry principles 1 and 2 reference problem is fixed (red). Box in page 14 has a different style, now. &ndash; ~-''<<DateTime(2012-10-17T09:02:26-0700)>>''-~
 }}}
 * '''Lecture 5''', ~-Oct 11-~: <<la("L05-Perturbation-TI-D.pdf", "Degenerate perturbation examples, symmetry")>>
 * '''Lecture 4''', ~-Oct 9-~: <<la("L04-Perturbation-TI-D.pdf", "Perturbation examples, degenerate perturbation")>>
 {{{#!wiki comment
 * <<color(Polished:)>> Pages 12-14 (red). &ndash; ~-''<<DateTime(2012-10-10T09:55:28-0700)>>''-~
 * <<color(Correction:)>> Page 1: converse &rarr; equivalent. &ndash; ~-''<<DateTime(2012-10-10T09:55:28-0700)>>''-~
 }}}
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 {{{#!wiki comment
 * <<color(Correction:)>> Paragraph just before Eq. 3.12: English correction. &ndash; ~-''<<DateTime(2012-10-07T09:13:51-0700)>>''-~
 }}}
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 * '''Lecture 2''', ~-Oct 2-~: <<la("L02-Formalism.pdf", "Representation, Symmetry")>>  * '''Lecture 2''', ~-Oct 2-~: <<la("L02-Formalism.pdf", "Representation, symmetry")>>
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 * <<color(Corrections:)>> Two typos corrected x &rarr; k (marked red) at bottom of page 9. ''Thanks P, A, J!'' &ndash; ~-''<<DateTime(2012-10-06T19:37:52-0700)>>''-~  * <<color(Changes:)>> The new "is represented by" symbol $\doteq$ is noted throughout. &ndash; ~-''<<DateTime(2012-10-07T10:53:44-0700)>>''-~
 * <<color(Corrections:)>> Two typos corrected x &rarr; k (red) at bottom of page 9. ''Thanks P, A, J!'' &ndash; ~-''<<DateTime(2012-10-06T19:37:52-0700)>>''-~
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== Extra Notes ==

 * '''Midterm''', ~-Nov 5-~: <<la("E01-first-page.pdf", "First page")>>. No cribsheet is allowed in the exam: only <<color("pens, pencils and erasers")>> are allowed. No calculator allowed. <<color(This pdf file is only for your (p)review before the exam and a print-out of it should <i>not</i> be brought to the exam.)>> This page will be the first page of the exam, and thus will be provided at the exam.
 {{{#!wiki comment
 * <<color(Correction:)>> : (20) sign of a term in $\sigma_z$. Thanks, L! &ndash; ~-''<<DateTime(2012-11-05T17:25:34-0800)>>''-~
 }}}

 * '''Review''', ~-Nov 2-~: <<la("midrev.pdf", "Photos of review session for midterm (some comments added)")>>
 {{{#!wiki comment
 * <<color(Correction:)>> page 6: $=\; \rightarrow\; \neq$ (as pointed out during the review session). &ndash; ~-''<<DateTime(2012-11-05T10:51:41-0800)>>''-~
 }}}

Lecture Notes

  • Lecture 19, Dec 6: Adiabatic theorem, Berry phase, Gauge invariance, Aharanov-Bohm effect

    • Addition: Page 5: some comments (red; related to HW 8.6). – 2:30PM, Dec 07, 2012

  • Lecture 18, Dec 4: Born approximation

  • Lecture 17, Nov 29: Partial wave analysis

    • Correction: Eq. 17.31, additional numerical factor (red). Thanks, ES and CD! – 11:00PM, Dec 04, 2012

  • Lecture 16, Nov 27: Scattering

    • Addition: Footnote 5. Also, $\vec{r} \rightarrow r$ in Eq. 16.4. – 9:48AM, Nov 29, 2012

  • Lecture 15, Nov 20: Absorption and emission of photon

    • Addition: Page 2: discussion on Fermi's golden rule (not red). – 10:57AM, Dec 03, 2012

    • Addition: Section 15.8 is significantly re-vamped (not red). – 1:05PM, Nov 27, 2012

    • Addition: "including" (red) in footnote 7. – 11:12AM, Nov 22, 2012

  • Lecture 14, Nov 15: Interaction of light and matter

    • Addition: A qualifying clause right before Eq. 14.14. – 12:06PM, Nov 30, 2012

    • Correction: Comment on Eq. 14.13 (red). – 7:15AM, Nov 21, 2012

  • Lecture 13, Nov 13: Time dependent perturbation theory

    • Correction: Page 6, just above Eq. 13.15, second → first, 13.9 → 13.7. Thanks, C.D.! – 10:07AM, Nov 26, 2012

    • Addition: Just above Eq. 13.33, "incoherent." – 10:42AM, Nov 19, 2012

    • Correction: Eq. 13.20 (factor 4 removed). – 8:09AM, Nov 19, 2012

    • Correction, addition: $V_{if}$ for Eq. 13.29, and the rest. Eq. 13.30 added. – 6:20PM, Nov 17, 2012

  • Lecture 12, Nov 8: Two level problem (general, with time-dependent Hamiltonian)

    • Note: Section 12.1 and footnote 2 renormalize the classroom discussion of "youth and age" or "life and death" "example."

  • Lecture 11, Nov 1: WKB approximation (cont.)

    • Correction: page 11: "lifetime" more carefully defined. – 12:48PM, Nov 01, 2012

  • Lecture 10, Oct 30: WKB approximation

    • Addition: page 7: reference to a diagram for connection formulae (red). – 6:20PM, Nov 14, 2012

    • Correction: page 2: thermionic → cold. – 3:34PM, Oct 31, 2012

  • Lecture 9, Oct 25: Variational principle

  • Lecture 8, Oct 23: Hydrogen-like atom

    • Revision, addition: Paragraph 2 of Section 8.2.1. Footnote 2. – 12:18PM, Oct 23, 2012

  • Lecture 7, Oct 18: Symmetry, Hydrogen-like atom

    • Correction: Eq. 7.15, negative sign. – 11:10AM, Oct 22, 2012

    • Additions: Footnote 4 (page 4). $\hat P_z$ (page 5). – 9:04AM, Oct 19, 2012

  • Lecture 6, Oct 16: Symmetry

    • Polished: Page 16 (red). – 3:17PM, Oct 18, 2012

    • Expanded: Page 14: Box content. – 9:50AM, Oct 17, 2012

    • Correction: Pages 9, 14: Symmetry principles 1 and 2 reference problem is fixed (red). Box in page 14 has a different style, now. – 9:02AM, Oct 17, 2012

  • Lecture 5, Oct 11: Degenerate perturbation examples, symmetry

  • Lecture 4, Oct 9: Perturbation examples, degenerate perturbation

    • Polished: Pages 12-14 (red). – 9:55AM, Oct 10, 2012

    • Correction: Page 1: converse → equivalent. – 9:55AM, Oct 10, 2012

  • Lecture 3, Oct 4: Perturbation theory

    • Correction: Paragraph just before Eq. 3.12: English correction. – 9:13AM, Oct 07, 2012

  • Lecture 2, Oct 2: Representation, symmetry

    • Changes: The new "is represented by" symbol $\doteq$ is noted throughout. – 10:53AM, Oct 07, 2012

    • Corrections: Two typos corrected x → k (red) at bottom of page 9. Thanks P, A, J! – 7:37PM, Oct 06, 2012

    • Changes: Chapter title changed. Footnote 5 added. – 1:17PM, Oct 02, 2012

  • Lecture 1, Sep 27: QM Formalism

    • Addition: Page 8, Eq. 1.14: "Note that ...". Pages 11-12: the time evolution operator has a hat over it, as it should. – 9:19AM, Oct 02, 2012

Extra Notes

  • Midterm, Nov 5: First page. No cribsheet is allowed in the exam: only pens, pencils and erasers are allowed. No calculator allowed. This pdf file is only for your (p)review before the exam and a print-out of it should not be brought to the exam. This page will be the first page of the exam, and thus will be provided at the exam.

    • Correction: : (20) sign of a term in $\sigma_z$. Thanks, L! – 6:25PM, Nov 05, 2012

  • Review, Nov 2: Photos of review session for midterm (some comments added)

    • Correction: page 6: $=\; \rightarrow\; \neq$ (as pointed out during the review session). – 11:51AM, Nov 05, 2012

UC Santa Cruz Department of Physics