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Diffstat (limited to 'latex/know/concept/blochs-theorem')
| -rw-r--r-- | latex/know/concept/blochs-theorem/source.md | 2 |
1 files changed, 1 insertions, 1 deletions
diff --git a/latex/know/concept/blochs-theorem/source.md b/latex/know/concept/blochs-theorem/source.md index 2307d2e..528c218 100644 --- a/latex/know/concept/blochs-theorem/source.md +++ b/latex/know/concept/blochs-theorem/source.md @@ -27,7 +27,7 @@ known as *Bloch functions* or *Bloch states*. This is suprisingly easy to prove: if the Hamiltonian $\hat{H}$ is lattice-periodic, then it will commute with the unitary translation operator $\hat{T}(\vec{a})$, -i.e. $\comm{\hat{H}}{\hat{T}(\vec{a})} = 0$. +i.e. $[\hat{H}, \hat{T}(\vec{a})] = 0$. Therefore $\hat{H}$ and $\hat{T}(\vec{a})$ must share eigenstates $\psi(\vec{r})$: $$ |