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Commit f6d320e6 authored by Anton Akhmerov's avatar Anton Akhmerov
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fix integration limit

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......@@ -233,7 +233,7 @@ Because the dispersion of the free electron is isotropic[^2], we utilize spheric
The total number of states is then
$$
\begin{align}
N &\overset{\mathrm{3D}}{=}2_s \left(\frac{L}{2\pi}\right)^3\int_{\varepsilon(\mathbf{k} < \varepsilon)}\mathrm{d}{\mathbf{k}}\\
N &\overset{\mathrm{3D}}{=}2_s \left(\frac{L}{2\pi}\right)^3\int_{\varepsilon(\mathbf{k}) < \varepsilon}\mathrm{d}{\mathbf{k}}\\
&=2_s \left(\frac{L}{2\pi}\right)^3 4\pi\int k^2\mathrm{d}k\\
&=\frac{V}{\pi^2}\int k^2\mathrm{d}k,
\end{align}
......
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