summaryrefslogtreecommitdiff
path: root/latex/know/concept/blochs-theorem
diff options
context:
space:
mode:
authorPrefetch2021-02-20 14:55:33 +0100
committerPrefetch2021-02-20 14:55:33 +0100
commit5999e8682785cc397e266122fba91fafa8b48269 (patch)
treedd76e2a0249253b33f021d4ed1163f80ad8780aa /latex/know/concept/blochs-theorem
parente71c14aa725d71a2ea7310c69b3d11a8bc12c0b0 (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.md2
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 $\psi(\vec{r})$:
$$