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classical_density_of_states [2016/03/09 12:47] nikolaj |
classical_density_of_states [2016/03/09 12:48] nikolaj |
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| More generally, for an dispersion relation $E=E_0+a\,k^p$ in an $n$-dimensional space (volume of the space being $b\,k^n$), the density is | More generally, for an dispersion relation $E=E_0+a\,k^p$ in an $n$-dimensional space (volume of the space being $b\,k^n$), the density is | ||
| - | $D(E) = \dfrac{c_n}{c_k^r}\dfrac{\mathrm d}{{\mathrm d}E}(E-E_0)^r$, where $r:=\tfrac{n}{p}$. | + | $D(E) = \dfrac{c_n}{c_k^r}\dfrac{\mathrm d}{{\mathrm d}E}(E-E_0)^r=r\,\dfrac{c_n}{c_k^r}(E-E_0)^{r-1}$, where $r:=\tfrac{n}{p}$. |
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| === Context === | === Context === | ||
| [[Classical confined phase volume]] | [[Classical confined phase volume]] | ||
