Slide 1Slide 2Slide 3Slide 4Slide 5Slide 6Lecture 35: Fermi and Bose particlesLecture 35: Fermi and Bose particlesChapter 10, Wednesday April 9Chapter 10, Wednesday April 9thth•Fermi particles•Temperature dependence of •Bose particles•Properties of a Fermi gas as T → 0Reading: Reading: All of chapter 10 (pages 188 - 207)All of chapter 10 (pages 188 - 207)Homework 10 due Wed. Apr. 16th at Homework 10 due Wed. Apr. 16th at 5pm5pmAssigned problems, Assigned problems, Ch. 10Ch. 10::Exam 3 next Friday (18th), Chs 8-10Exam 3 next Friday (18th), Chs 8-10Review next week (time/place TBA)Review next week (time/place TBA)0 1 2 3-4-20 T lnTTemperatureTT-dependence of chemical potential-dependence of chemical potentialFermi-Dirac distribution functionFermi-Dirac distribution function0.00 0.25 0.50 0.75 1.00 1.25 1.500.00.20.40.60.81.01.2n(k)(k)/F F/kBT T = 0 50 20 10( )( ) /1( )1Bk k Tn kee m-=+Energy# of fermions10Fermi-Dirac particles (fermions)Fermi-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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