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LECTURE 13 Maxwell–Boltzmann, Fermi, and Bose Statistics

LECTURE 13 maxwell boltzmann , Fermi, and Bose StatisticsSuppose we have a gas of N identical point particles in a box ofvolume V. When wesay gas , we mean that the particles are not interacting with one another. Suppose weknow the single particle states in this gas. We would like to know what are the possiblestates of the system as a whole. There are 3 possible cases. Which one is appropriatedepends on whether we use maxwell boltzmann , Fermi or Bose Statistics . Let s considera very simple case in which we have 2 particles in the box and the box has 2 singleparticle states. How many distinct ways can we put the particles into the 2 states? maxwell boltzmann Statistics : This is sometimes called the classical case.

This is called the “MaxwellBoltzmann distribution.” It is the same as our previous result when we applied the canonical distribution to N independent single particles in a classical system. The sum over r is a sum over single particle states. Alternative Derivation of MaxwellBoltzmann Partition Function We can write the

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  Distribution, Maxwell, Boltzmann, Boltzmann distribution, The maxwell

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Transcription of LECTURE 13 Maxwell–Boltzmann, Fermi, and Bose Statistics

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