diff --git a/src/11_nearly_free_electron_model.md b/src/11_nearly_free_electron_model.md index 6904f8a88bf822cdf44c56ec2294aa8db80e1336..c4999347c769bb89ad124c6bc8fec643e81f776a 100644 --- a/src/11_nearly_free_electron_model.md +++ b/src/11_nearly_free_electron_model.md @@ -58,7 +58,7 @@ Bloch theorem is extremely similar to the ansatz we used in [1D](7_tight_binding ## Nearly free electron model -In the free electron model, the dispersion is $E = \hbar^2 |\mathbf{k}|^2/2m$ and the corresponding eigenfunctions $|\mathbf{k}\rangle$ are plane waves with a real-space representation $\psi=\langle\mathbf{R}|\mathbf{k}\rangle= e^{i\mathbf{k}\cdot \mathbf{R}}$. We note that in the free electron model, +In the free electron model, the dispersion is $E = \hbar^2 |\mathbf{k}|^2/2m$ and the corresponding eigenfunctions $|\mathbf{k}\rangle$ are plane waves with a real-space representation $\psi=\langle\mathbf{r}|\mathbf{k}\rangle= e^{i\mathbf{k}\cdot \mathbf{r}}$. We note that in the free electron model, * there is only one band * the band structure is not periodic in $k$-space