Physics 219 UCSC
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| * '''Lecture 21''', ~-May 21-~: <<la(L21-Interactions--SCSM.pdf, "Interactions (SCSM)")>> {{{#!wiki comment * <<color("Addition:")>> Comments on the van der Waals equation of state (pages 7-8).—~-''<<DateTime(2014-05-22T11:23:14-0700)>>''-~ }}} * '''Lecture 17''', ~-May 29-~: <<la(L17-Correlation.pdf, "Correlation ($\xi$)")>> * '''Lecture 16''', ~-May 27-~: <<la(L16-Landau-theory.pdf, "Landau theory of phase transition")>> {{{#!wiki comment * <<color("Changes:")>> Footnote 1 removed. Footnote 1 (old footnote 2) is rebuffed with details added (Bragg-Williams free energy derived in it). Footnote 2 refers to footnote 1.—~-''<<DateTime(2014-05-28T11:34:13-0700)>>''-~ }}} * '''Lecture 15''', ~-May 22-~: <<la(L15-Phase-Transitions.pdf, "Phase transitions")>> * '''Lecture 14''', ~-May 20-~: <<la(L14-BEC.pdf, "Bose gas")>> {{{#!wiki comment * <<color("Addition:")>> A new footnote (2) regarding the symbol $n$.—~-''<<DateTime(2014-05-21T09:15:42-0700)>>''-~ * <<color("Correction:")>> $z-1 \rightarrow 1-z$ in page 8, in the first part of proof.—~-''<<DateTime(2014-05-20T19:07:34-0700)>>''-~ }}} * '''Lecture 13''', ~-May 15-~: <<la(L13-Fermi-Gas.pdf, "Fermi gas")>> * '''Lecture 12''', ~-May 13-~: <<la(L12-Quantum-Ideal-Gas.pdf, "Quantum ideal gas (general)")>> {{{#!wiki comment * <<color("Addition:")>> A box, and more comments near the end (Eq. 12.50).—~-''<<DateTime(2014-05-15T07:44:47-0700)>>''-~ }}} * '''Lecture 11''', ~-May 8-~: See LN 10. We also discussed a very important qualitative way to quickly re-derive the Debye $T^3$ law (<<ln("/teaching/11Q1-155/Lectures%2009,%2010.pdf","page 3 of this pdf file")>>). We also discussed how the $T^3$ law would change if we had ferromagnetic spin waves ($\omega \propto k^2$, at long wave length). We derived the answer that $C_V \propto T^{3/2}$. For experimental data on ferromagnetic materials (including EuB$_6$, mentioned in class—''not'' a clear-cut case to demonstrate the $T^{3/2}$ law, I think), check the literature: <<doi(10.1134/S1063783409100187, "this")>> or <<doi(10.1103/PhysRevLett.79.5134, "this")>>, for example. * '''Lecture 10''', ~-May 6-~: <<la(L10-Phonons-Photons.pdf, "Photons, Phonons")>> {{{#!wiki comment * <<color("Addition:")>> A new footnote (7).—~-''<<DateTime(2014-05-13T10:08:25-0700)>>''-~ * <<color("Corrections:")>> Eq. 10.15, the $\hbar$ factor is dropped. Eqs. 10.24 and 25 are re-written. The previous version of these two equations were ''not'' applicable to all particles.—~-''<<DateTime(2014-05-09T12:37:07-0700)>>''-~ }}} * '''Lecture 9''', ~-May 1-~: <<la(L09-Quantum-SM.pdf, "Quantum statistical mechanics")>> {{{#!wiki comment * <<color("Addition:")>> Two section numbers in footnote 8.—~-''<<DateTime(2014-05-13T10:20:04-0700)>>''-~ * <<color("Additions:")>> A box in page 6. Section 9.3.3. Both of these additions were discussed, in one form or another, in lectures. Footnote 20. (Also, an old footnote (footnote 10, I think) is deleted, as it was found to be unnecessary.)—~-''<<DateTime(2014-05-12T17:14:54-0700)>>''-~ }}} * '''Lecture 8''', ~-Apr 29-~: <<la(L08-SCE-Examples.pdf, "Some examples of semi-classical ensembles")>> {{{#!wiki comment * <<color("Change:")>> Discussions in page 14 have been simplified a bit, and then a question has been added.—~-''<<DateTime(2014-05-01T12:55:54-0700)>>''-~ }}} * '''Lecture 7''', ~-Apr 24-~: <<la(L07-Ensembles.pdf, "Various ensembles")>> {{{#!wiki comment * <<color("Addition:")>> Added some more comments to item 4 in page 8.—~-''<<DateTime(2014-05-01T19:26:34-0700)>>''-~ * <<color("Addition:")>> Key notes added after that ''super''-important table in page 7.—~-''<<DateTime(2014-05-01T12:44:22-0700)>>''-~ * <<color("Change:")>> The symbol change for microstate (from a left-leaning "mu" to a "mu" with a wavy decorator on lower left).—~-''<<DateTime(2014-04-25T10:36:54-0700)>>''-~ }}} * '''Lecture 6''', ~-Apr 22-~: <<la(L06-Semi-Classical-SM.pdf, "The semi-classical statistical mechanics")>> {{{#!wiki comment * <<color("Change:")>> The symbol change for microstate just like for LN 7.—~-''<<DateTime(2014-04-25T10:36:54-0700)>>''-~ }}} * '''Lecture 5''', ~-Apr 17-~: <<la(L05-Irreversibility.pdf, "The irreversibility")>> * '''Lecture 4''', ~-Apr 15-~: <<la(L04-Numbers-Big-Numbers.pdf, "Big numbers")>> {{{#!wiki comment * <<color("Comment:")>> Definition of correlation and covariance (Eq. 4.13) has a new comment below it. Also, the word '''covariance''' is mentioned.—~-''<<DateTime(2014-05-01T10:33:04-0700)>>''-~ * <<color("Change:")>> Bayesian inference is upgraded from footnote to sub-section (page 3).—~-''<<DateTime(2014-04-10T19:52:28-0700)>>''-~ }}} * '''Lecture 3''', ~-Apr 10-~: <<la("L03-Probability.pdf", "Probability")>> {{{#!wiki comment * <<color("Corrections:")>> Eq. 3.3: $\langle p(x) \rangle \rightarrow \langle e^{-ikx} \rangle$. Eq. 3.12: missing $\langle x \rangle_c$ put back for the 4th term (thanks DH, for spotting this typo!).—~-''<<DateTime(2014-04-17T12:53:41-0700)>>''-~ * <<color("Correction:")>> Line 2 of Section 3.2.2: $/N \rightarrow /\sqrt{N}$.—~-''<<DateTime(2014-04-10T11:19:37-0700)>>''-~ }}} * '''Lecture 2''', ~-Apr 8-~: <<la("L02-Entropy.pdf", "Entropy and thermodynamic potentials")>> {{{#!wiki comment * <<color("More changes:")>> Discussion in Section 2.3 is beefed up a bit (new stuff added here and there). In particular, paragraph 3 (a new one) in page 10 is highly recommended for your careful consumption. In Eq. 2.39 and around it, notation change: $T_0, J_0, S_0 \rightarrow T_R, J_R, S_R$ (better coherence with contents of Section 2.3).—~-''<<DateTime(2014-04-09T10:13:01-0700)>>''-~ * <<color("Changes:")>> Lots of little corrections/improvement/clarifications were added in pages 8 through 17. Please, update! Two most important changes: (i) page 8, Gibbs free energy, the $dG$ expression was jumbled--corrected. (ii) on the same page, $\delta$ is now replaced by $d$.—~-''<<DateTime(2014-04-08T12:34:35-0700)>>''-~ }}} |
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{{{#!wiki comment * <<color("Addition:")>> Some comments are added after Eq. 1.2. Thanks PM, whose question prompted this addition!—~-''<<DateTime(2014-04-09T11:50:16-0700)>>''-~ }}} |
Lecture Notes
Lecture 21, May 21: Interactions (SCSM)
Addition: Comments on the van der Waals equation of state (pages 7-8).—11:23AM, May 22, 2014
Lecture 17, May 29: Correlation ($\xi$)
Lecture 16, May 27: Landau theory of phase transition
Changes: Footnote 1 removed. Footnote 1 (old footnote 2) is rebuffed with details added (Bragg-Williams free energy derived in it). Footnote 2 refers to footnote 1.—11:34AM, May 28, 2014
Lecture 15, May 22: Phase transitions
Lecture 14, May 20: Bose gas
Addition: A new footnote (2) regarding the symbol $n$.—9:15AM, May 21, 2014
Correction: $z-1 \rightarrow 1-z$ in page 8, in the first part of proof.—7:07PM, May 20, 2014
Lecture 13, May 15: Fermi gas
Lecture 12, May 13: Quantum ideal gas (general)
Addition: A box, and more comments near the end (Eq. 12.50).—7:44AM, May 15, 2014
Lecture 11, May 8: See LN 10. We also discussed a very important qualitative way to quickly re-derive the Debye $T^3$ law (page 3 of this pdf file). We also discussed how the $T^3$ law would change if we had ferromagnetic spin waves ($\omega \propto k^2$, at long wave length). We derived the answer that $C_V \propto T^{3/2}$. For experimental data on ferromagnetic materials (including EuB$_6$, mentioned in class—not a clear-cut case to demonstrate the $T^{3/2}$ law, I think), check the literature: this or this, for example.
Lecture 10, May 6: Photons, Phonons
Addition: A new footnote (7).—10:08AM, May 13, 2014
Corrections: Eq. 10.15, the $\hbar$ factor is dropped. Eqs. 10.24 and 25 are re-written. The previous version of these two equations were not applicable to all particles.—12:37PM, May 09, 2014
Lecture 9, May 1: Quantum statistical mechanics
Addition: Two section numbers in footnote 8.—10:20AM, May 13, 2014
Additions: A box in page 6. Section 9.3.3. Both of these additions were discussed, in one form or another, in lectures. Footnote 20. (Also, an old footnote (footnote 10, I think) is deleted, as it was found to be unnecessary.)—5:14PM, May 12, 2014
Lecture 8, Apr 29: Some examples of semi-classical ensembles
Change: Discussions in page 14 have been simplified a bit, and then a question has been added.—12:55PM, May 01, 2014
Lecture 7, Apr 24: Various ensembles
Addition: Added some more comments to item 4 in page 8.—7:26PM, May 01, 2014
Addition: Key notes added after that super-important table in page 7.—12:44PM, May 01, 2014
Change: The symbol change for microstate (from a left-leaning "mu" to a "mu" with a wavy decorator on lower left).—10:36AM, Apr 25, 2014
Lecture 6, Apr 22: The semi-classical statistical mechanics
Change: The symbol change for microstate just like for LN 7.—10:36AM, Apr 25, 2014
Lecture 5, Apr 17: The irreversibility
Lecture 4, Apr 15: Big numbers
Comment: Definition of correlation and covariance (Eq. 4.13) has a new comment below it. Also, the word covariance is mentioned.—10:33AM, May 01, 2014
Change: Bayesian inference is upgraded from footnote to sub-section (page 3).—7:52PM, Apr 10, 2014
Lecture 3, Apr 10: Probability
Corrections: Eq. 3.3: $\langle p(x) \rangle \rightarrow \langle e^{-ikx} \rangle$. Eq. 3.12: missing $\langle x \rangle_c$ put back for the 4th term (thanks DH, for spotting this typo!).—12:53PM, Apr 17, 2014
Correction: Line 2 of Section 3.2.2: $/N \rightarrow /\sqrt{N}$.—11:19AM, Apr 10, 2014
Lecture 2, Apr 8: Entropy and thermodynamic potentials
More changes: Discussion in Section 2.3 is beefed up a bit (new stuff added here and there). In particular, paragraph 3 (a new one) in page 10 is highly recommended for your careful consumption. In Eq. 2.39 and around it, notation change: $T_0, J_0, S_0 \rightarrow T_R, J_R, S_R$ (better coherence with contents of Section 2.3).—10:13AM, Apr 09, 2014
Changes: Lots of little corrections/improvement/clarifications were added in pages 8 through 17. Please, update! Two most important changes: (i) page 8, Gibbs free energy, the $dG$ expression was jumbled--corrected. (ii) on the same page, $\delta$ is now replaced by $d$.—12:34PM, Apr 08, 2014
Lecture 1, Apr 1: Themodynamics
Addition: Some comments are added after Eq. 1.2. Thanks PM, whose question prompted this addition!—11:50AM, Apr 09, 2014