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author | Prefetch | 2021-02-20 14:55:33 +0100 |
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committer | Prefetch | 2021-02-20 14:55:33 +0100 |
commit | 5999e8682785cc397e266122fba91fafa8b48269 (patch) | |
tree | dd76e2a0249253b33f021d4ed1163f80ad8780aa /latex/know/concept/blochs-theorem | |
parent | e71c14aa725d71a2ea7310c69b3d11a8bc12c0b0 (diff) |
Add "Dirac notation" + tweak "Bloch's theorem"
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 $\psi(\vec{r})$: $$ |