Lecture Notes

• Lecture 20, June 6: Renormalization group (2D Ising)

• Lecture 19, June 4: Renormalization group

  • Revision: Re-vamped, overall. – 8:45AM, Jun 06, 2013

• Lecture 18, May 30: Monte Carlo, Exact solution

  • Corrections: $h \rightarrow H$ in Eqs. 18.3 and 18.58.

• Lecture 17, May 28: Correlation and correlation length ($\xi$)

  • Addition: One more section added (last page). – 9:20AM, May 28, 2013

• Lecture 16, May 23: Ising model and the Landau theory of phase transition

  • Addition: Footnote 11. – 2:55PM, Jun 06, 2013

• Lecture 15, May 21: BEC, Ising

  • Corrections, Additions: Page 3, Fig. T7.11 → Fig. T7.4 (red); footnote 4 has been expanded a bit (page 7); Page 8, $\Omega = v_0$ added (four sentences above Eq. 15.15); Page 8, $\mathcal Q \rightarrow Q$ and $\mu_B h \rightarrow \mu_B H$ (bottom). – 3:59PM, May 21, 2013

• Lecture 14, May 16: Bose gas, BEC

• Lecture 13, May 14: Fermi gas

  • Moved: The Bose gas part is signifincantly edited, and moved to LN 14. – 2:39PM, May 16, 2013

• Lecture 12, May 9: Quantum ideal gas

  • Correction: Eq. 12.49, missing $n$ restored in the second term. – 6:28PM, May 15, 2013

• Lecture 11, May 7: Phonons, Photons

• Lecture 10, May 2: Quantum statistical mechanics

  • Correction: footnote 3: the factor $\frac{1}{2}$ multiplies the $\vec c \cdot \vec \sigma$ term also. – 8:30PM, May 19, 2013

• Lecture 9, Apr 30: Quantum statistical mechanics (preview)

  • Moved: Everything except the first section, revamped and moved to LN 10.

• Lecture 8, Apr 25: Examples of ensemble calculations

  • Correction, Addition: Page 13, spin up and down (red). Footnote 9 added. – 11:24AM, Apr 26, 2013

  • Addition: Section 8.4.3, and footnote 1. – 2:26PM, Apr 25, 2013

• Lecture 7, Apr 23: Ensembles

  • Changes: Page 7, one sentence deleted (due to redundance, since it essentially repeats in the box), one sentence added just above the box. The box re-buffed. Eq 7.3 includes $\beta_R$ (better this way). – 3:01AM, Apr 26, 2013

  • Addition: Footnote, page 9. – 3:16PM, Apr 23, 2013

  • Correction: The contraint for the microcanonical case in page 8. – 2:19PM, Apr 23, 2013

  • Additions: A paragraph at the end of Sec 7.3. Fuller notation for partials in the table of Sec 7.4. – 9:14AM, Apr 23, 2013

• Lecture 6, Apr 18: Semi-classical statistical mechanics

  • Correction: Debye → de Broglie (red), page 13. – 12:42PM, Apr 23, 2013

  • Addition: $n = 1, 2, ...$ for Eq 6.36. – 7:37AM, Apr 23, 2013

  • Additions: Lots of small (and helpful, I hope!) additions here and there (mostly, footnote 3, a few boxes, and new texts in page 14). Please update with your note with this! – 1:25PM, Apr 18, 2013

• Lecture 5, Apr 16: Some – general considerations, Irreversibility

• Lecture 4, Apr 11: Big — numbers

• Lecture 3, Apr 9: ‘‘Probability’’

  • Addition: End of page 11, beginning of page 12: some more words for point (1). – 4:23PM, Apr 10, 2013

  • Additions: Page 4, figure; Section 3.1.5, last sentence; Page 9, a sentence just above “Lastly, ...”. – 12:47PM, Apr 09, 2013

  • Correction: Eq 3.33: $\langle n^2 \rangle \rightarrow \langle n^2 \rangle_c$. – 9:04AM, Apr 09, 2013

• Lecture 2, Apr 4: Entropy and ‘other’ related topics

  • Change, Addition: $\mathcal{G} \rightarrow \Phi$ (pages 8, 9). New footnote in page 9. – 7:37AM, Apr 23, 2013

  • Addition: A sentence just above Eq 2.38. – 1:27PM, Apr 09, 2013

  • Addition, Correction: Page 5, some old and new lines are bold faced and a new footnote is added. Page 11, Eq 2.29 $V \rightarrow P$. – 9:33AM, Apr 04, 2013

  • Changes: Slight tweaking of the first two sentences of the next to last paragraph in page 5. – 5:25PM, Apr 03, 2013

  • Changes: Some sections have been swapped. A new subsection for Euler's chain rule. $P \rightarrow -P$ on page 7. – 9:17AM, Apr 03, 2013

• Lecture 1, Apr 2: Thermodynamics – initial review

  • Addition: Page 6, footnote. – 7:08AM, Apr 04, 2013

  • Addition: More explanation added in the proof of page 9. – 8:18AM, Apr 03, 2013