Lecture 37: Fermi and Bose particlesLecture 37: Fermi and Bose particlesChapter 10, Monday April 14Chapter 10, Monday April 14thth• Examples of Fermi systems• Bose statistics• Bose-Einstein condensation• Heat capacity of a Bose gasReading: Reading: All of chapter 10 (pages 188 All of chapter 10 (pages 188 --207)207)Homework 10 due Wed. Apr. 16th at 5pmHomework 10 due Wed. Apr. 16th at 5pmAssigned problems, Assigned problems, Ch. 10Ch. 10::Exam 3 on Friday (18th), Exam 3 on Friday (18th), ChsChs88--1010Review inReview in--class on Wednesdayclass on WednesdayFermi/Bose distribution functionsFermi/Bose distribution functions()()() /() /1()11()1BBFkkTBkkTnkefkeεμεμ−−=+=−()/BkTεμ−knFermiFermi--Dirac distribution functionDirac distribution function0.00 0.25 0.50 0.75 1.00 1.25 1.500.00.20.40.60.81.01.21.4n(k)ε(k)/εFεF/kBT = 50()() /1()1BkkTnkeεμ−=+dndε−FFTTαε⎛⎞⎜⎟⎝⎠LowLow--temperature contribution to entropytemperature contribution to entropyLinear regimeExamples of Fermi systemsExamples of Fermi systemsDilute 3He in superfluid 4HeExamples of Fermi systemsExamples of Fermi systemsElectrons in metals (dense system)01234-4-20−T lnTTemperatureTT--dependence of chemical potentialdependence of chemical potentialHeat capacity of a Bose gasHeat capacity of a Bose gasT3/2BE CondensationBE
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