Lecture 35: Fermi and Bose particlesLecture 35: Fermi and Bose particlesChapter 10, Wednesday April 9Chapter 10, Wednesday April 9thth• Fermi particles• Temperature dependence of μ• Bose particles• Properties of a Fermi gas as T → 0Reading: 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 next Friday (18th), Exam 3 next Friday (18th), ChsChs88--1010Review next week (time/place TBA)Review next week (time/place TBA)0123-4-20−T lnTTemperatureTT--dependence of chemical potentialdependence of chemical potentialFermiFermi--Dirac distribution functionDirac distribution function0.00 0.25 0.50 0.75 1.00 1.25 1.500.00.20.40.60.81.01.2n(k)ε(k)/εF εF/kBT T = 0 50 20 10()() /1()1BkkTnkeεμ−=+Energy# of fermions10FermiFermi--Dirac particles (fermions)Dirac particles (fermions)Pauli exclusion principleEFInternal energy ≠ 0Free energy = 0Entropy = 0Particles are indistinguishableEnergy# of bosons11109876543210Bose particles (bosons)Bose particles (bosons)Internal energy = 0Entropy = 0kkyykkxxkkzzFermi surfaceFermi
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