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= Exam =

 * <<la("E01-w-Sols.pdf", "Exam with solutions.")>>

 * Questions in the exam will be like those of the qualifier exams. The contents of lecture note 7 are extremely important, since they are the basic principles without which you will have a hard time doing any problem. They are to statistical mechanics as Newton's laws are to classical mechanics. At the minimum, '''one must know the basic laws that are summarized in the table of page 7 of LN 7 __by heart__''' and then apply them to various problems like those we did in homework and examples in lecture notes. That is, you must know when and how to ''start from the partition function, the Gibbs partition function, or the grand partition function, and derive all properties.'' It is also strongly advised that you go over past qualifier problems (see below).

 * Past qualifier exams: <<la("2010-2012.SM.pdf", "2010-2012")>>, <<la("2005-2009.SM.pdf", "2005-2009")>>, <<la("2000-2004.SM.pdf", "2000-2004")>>, <<la("1995-1999.SM.pdf", "1995-1999")>>.
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  * '''Homework 1''', ~-due Apr 12-~: <<la("H01-Thermo.pdf", "Thermodyanmics -- review")>>  * '''Homework 5''', ~-due June 6-~: <<la("H05-Phase-Transition.pdf", "Phase transition")>> ~-(<<la("H05-Phase-Transition-w-Sols.pdf", "with solutions (for analytical questions)")>>)-~
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 * <<color(Correction, Addition:)>> Problem 4 (red). Also, a sentence added at top (maximum entropy). &ndash; ~-''<<DateTime(2013-04-06T08:42:15-0700)>>''-~  * <<color(Codes:)>> <<la("g-hint.py", "Python program for calculating the fugacity of a BEC gas (first problem)")>>, <<la("MC.py", "Python program for Monte Carlo (last problem).")>> &ndash; ~-''<<DateTime(2013-05-27T21:55:30-0700)>>''-~
 * <<color(Plotting:)>> In case you like to plot things up in Python, here is some information that might be helpful: <<ln("/ph156-11/Homework%204%20Solutions", "Plotting examples")>>, <<ln("/ph156-11/Matlab%20and%20Python#Python", "Python, scipy, matplotlib")>>. &ndash; ~-''<<DateTime(2013-05-27T21:55:30-0700)>>''-~
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 * '''Homework 4''', ~-due May 21-~: <<la("H04-Quantum-SM.pdf", "Quantum statistical mechanics")>> ~-(<<la("H04-Quantum-SM-w-Sols.pdf", "with solutions")>>)-~

 {{{#!wiki comment
 * <<color("Correction:")>> Problem 6 (a): the factor $\frac{1}{2}$ multiplies $\vec a \cdot \vec \sigma$ also. Also, $\sigma \rightarrow \vec \sigma$, right after "where." &ndash; ~-''<<DateTime(2013-05-19T20:28:58-0700)>>''-~
 }}}

 * '''Homework 3''', ~-due May 6-~: <<la("H03-Ensembles-Semi-Classical.pdf", "Ensembles, semi-classical")>> ~-(<<la("H03-Ensembles-Semi-Classical-w-Sols.pdf", "with solutions")>>)-~

 {{{#!wiki comment
 * <<color("Addition:")>> (Solutions) Pages 10,11: addendum (the van der Waals equation). &ndash; ~-''<<DateTime(2013-06-06T22:36:06-0700)>>''-~
 * <<color("Correction:")>> (Solutions) $Z$ in page 9 (the power of $\bar V$, corrected). &ndash; ~-''<<DateTime(2013-06-06T22:36:06-0700)>>''-~
 }}}

 * '''Homework 2''', ~-due Apr 23-~: <<la("H02-Probability.pdf", "Probability")>> ~-(<<la("H02-Probability-w-Sols.pdf", "with solutions")>>)-~

 {{{#!wiki comment
 * <<color("Correction:")>> Problem 7(a): Eq. 5.22 (red). &ndash; ~-''<<DateTime(2013-04-18T09:05:55-0700)>>''-~
 * <<color("Correction:")>> Problem 6(c): Phys. Rev. B &rarr; Phys. Rev. E. &ndash; ~-''<<DateTime(2013-04-15T12:18:20-0700)>>''-~
 }}}

 * '''Homework 1''', ~-due Apr 12-~: <<la("H01-Thermo.pdf", "Thermodynamics -- review")>> ~-(<<la("H01-Thermo-w-Sols.pdf", "with solutions")>>)-~

 {{{#!wiki comment
 * <<color("Correction, Addition:")>> Problem 4 (red). Also, a sentence added at top (maximum entropy). &ndash; ~-''<<DateTime(2013-04-06T08:42:15-0700)>>''-~
 }}}

Exam

  • Exam with solutions.

  • Questions in the exam will be like those of the qualifier exams. The contents of lecture note 7 are extremely important, since they are the basic principles without which you will have a hard time doing any problem. They are to statistical mechanics as Newton's laws are to classical mechanics. At the minimum, one must know the basic laws that are summarized in the table of page 7 of LN 7 by heart and then apply them to various problems like those we did in homework and examples in lecture notes. That is, you must know when and how to start from the partition function, the Gibbs partition function, or the grand partition function, and derive all properties. It is also strongly advised that you go over past qualifier problems (see below).

  • Past qualifier exams: 2010-2012, 2005-2009, 2000-2004, 1995-1999.

Homework