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Hi,

I regard an equation for an canonical ensemble.

I do not understand why both equations should be equal.

[itex]\bar{E}= -\frac{ \partial \ln{(Z)}}{ \partial \beta} \overset{\text{?}} = k T ^{2 } \frac{\partial \ln{(Z)}}{\partial T}[/itex]

[itex]Z[/itex] is a canonical partition function.

[itex]\beta[/itex] = [itex]\frac{1}{kT}[/itex].

Thx

Abby

I regard an equation for an canonical ensemble.

I do not understand why both equations should be equal.

[itex]\bar{E}= -\frac{ \partial \ln{(Z)}}{ \partial \beta} \overset{\text{?}} = k T ^{2 } \frac{\partial \ln{(Z)}}{\partial T}[/itex]

[itex]Z[/itex] is a canonical partition function.

[itex]\beta[/itex] = [itex]\frac{1}{kT}[/itex].

Thx

Abby

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