Between classical or quantum statistics

  • Thread starter GotTrips
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Hi can someone please help me! Can someone explain when it is acceptable to quantum statistics instead of classical statistics? And what is the difference between them.

Thanks All

OLY
 
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I dont remember the eqn but the critical word is "thermal wave length" that describes the difference between two. Look at th Huang's Statistical Mechenics for details
 

dextercioby

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Microscopical dynamics and the application of the 6 postulates of (nonrelativistic) QM is the decisive factor...

Think of the Gibbs' paradox and u'll understand the need for a quantum statistical physics...


Daniel.
 
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dextercioby

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The Gibbs paradox is accounted for quite nicely even in classical statistic if one considers the dimensionless volume element on the phase space

[tex] d^{2s}\tilde{x}=:\frac{1}{h^{2s}}\prod_{i=1}^{2s} dq_{i}dp_{i} [/tex]

to which the VI-th postulate is applied to

[tex] d^{2x}x^{*}=:\frac{1}{h^{2s}N!}\prod_{i=1}^{2s} dq_{i}dp_{i} [/tex]

Daniel.
 
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