Differences
This shows you the differences between two versions of the page.
Both sides previous revision Previous revision | |||
classical_microcanonical_phase_volume [2014/03/21 11:11] 127.0.0.1 external edit |
classical_microcanonical_phase_volume [2015/08/16 14:18] nikolaj |
||
---|---|---|---|
Line 4: | Line 4: | ||
| @#55CCEE: context | @#55CCEE: $ \mathrm{dim}(\mathcal M) = 3N $ | | | @#55CCEE: context | @#55CCEE: $ \mathrm{dim}(\mathcal M) = 3N $ | | ||
| @#55CCEE: context | @#55CCEE: $ \hbar$ ... Reduced Planck's constant | | | @#55CCEE: context | @#55CCEE: $ \hbar$ ... Reduced Planck's constant | | ||
- | |||
| @#FFBB00: definiendum | @#FFBB00: $\Gamma(E):=\frac{1}{h^{3N} N!}\int_{\{\langle{\bf q},{\bf p}\rangle\in \Gamma_{\mathcal M}\ |\ E\le H({\bf q},{\bf p})\le E+\Delta\}} \mathrm d\Gamma $ | | | @#FFBB00: definiendum | @#FFBB00: $\Gamma(E):=\frac{1}{h^{3N} N!}\int_{\{\langle{\bf q},{\bf p}\rangle\in \Gamma_{\mathcal M}\ |\ E\le H({\bf q},{\bf p})\le E+\Delta\}} \mathrm d\Gamma $ | | ||
- | ==== Discussion ==== | + | ----- |
+ | === Discussion === | ||
=== Alternative definitions === | === Alternative definitions === | ||
Line 13: | Line 13: | ||
And here we see that this is the analog of [[Classical canonical partition function]] for the [[Classical canonical ensemble]]. | And here we see that this is the analog of [[Classical canonical partition function]] for the [[Classical canonical ensemble]]. | ||
- | ==== Parents ==== | + | |
+ | ----- | ||
=== Context === | === Context === | ||
[[Classical microcanonical ensemble]] | [[Classical microcanonical ensemble]] |