Between classical or quantum statistics

GotTrips

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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infra

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

Homework Helper
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.

dextercioby

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

$$d^{2s}\tilde{x}=:\frac{1}{h^{2s}}\prod_{i=1}^{2s} dq_{i}dp_{i}$$

to which the VI-th postulate is applied to

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

Daniel.

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