In classical statistical physics we have the partition function:(adsbygoogle = window.adsbygoogle || []).push({});

Z=Ʃexp(-βE_{i})

But my book says you can approximate this with an integral over phase space:

Z=1/(ΔxΔp)^{3}∫d^{3}rd^{3}p exp(-βE(r,t))

I agree that x and p are continuous variables. But who says that we are allowed to make this kind of discretization and what values are we choose for 1/(ΔxΔp)^{3}except for them being small?

I think my book is definately hiding something from me, and using a rather lame argumentation in doing so.

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# Partition function vs config integral

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