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