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Commit d06793ed authored by Anton Akhmerov's avatar Anton Akhmerov
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typo fix

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......@@ -110,7 +110,7 @@ V_{m-n} & \dfrac{\hbar^2 k_m^2}{2m}
\end{equation}
The eigenvalues of this fellow are
\begin{equation}
E=\frac{\hbar^2(k_n^2+k_m^2)}{4m}\pm\sqrt{\frac{\hbar^4}{16m^2}(k_n^2-k_m^2)+|V_{n-m}|^2}.
E=\frac{\hbar^2(k_n^2+k_m^2)}{4m}\pm\sqrt{\frac{\hbar^4}{16m^2}(k_n^2-k_m^2)^2+|V_{n-m}|^2}.
\end{equation}
This clearly displays that only if $|k_n|\approx |k_m|$, the band structure will be affected (given that the potential is weak, and therefore small). This nicely demonstrates how an avoided crossing arises.
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