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= Exam =

 * 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 like $$F = ma, F = \frac{dp}{dt}; \frac{d}{dt} \frac{\partial L}{\partial \dot q} = \frac{dL}{dq}; \frac{\partial H}{\partial p} = \dot q, \frac{\partial H}{\partial q} = -\dot p, \frac{\partial H}{\partial t} = \frac{dH}{dt}$$ of classical mechanics. In a minimalist fashion, one must know these basic laws very well and then apply them to various problems that we did in homework and examples in lecture notes. And, go over past qualifier problems given 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

  • 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 like $$F = ma, F = \frac{dp}{dt}; \frac{d}{dt} \frac{\partial L}{\partial \dot q} = \frac{dL}{dq}; \frac{\partial H}{\partial p} = \dot q, \frac{\partial H}{\partial q} = -\dot p, \frac{\partial H}{\partial t} = \frac{dH}{dt}$$ of classical mechanics. In a minimalist fashion, one must know these basic laws very well and then apply them to various problems that we did in homework and examples in lecture notes. And, go over past qualifier problems given below.

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

Homework