445lec21 - PHYS 445 Lecture 21 Indistinguishable particles...

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PHYS 445 Lecture 21 - Indistinguishable particles 21 - 1 © 2001 by David Boal, Simon Fraser University. All rights reserved; further resale or copying is strictly prohibited. Lecture 21 - Indistinguishable particles What's Important: number distributions for MB, photons. .. Text : Reif Secs. 9.4-9.7; skip 9.3 In the previous lecture, we established that the mean number density for a state i could be extracted from the partition function with the aid of n i = - 1 ß i ln Z (21.1) Let's now use this for the various particle types, starting with Maxwell-Boltzmann. MB number distributions In principle, we already know the answer to this question, namely n i = N exp( - ß i ) exp( - ß i ) (21.2) although we have not worried about distinguishability before (we only examined problems with single particle states, for example a single spin). To use the partition function of the multiparticle system, we start with the Boltzmann weight exp(- ßE R ) = exp[- ß ( n 1 1 + n 2 2 + n
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445lec21 - PHYS 445 Lecture 21 Indistinguishable particles...

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