From 64722d5b5b4baff56ad593fe0de8c25907d85472 Mon Sep 17 00:00:00 2001 From: Prefetch Date: Sat, 20 Feb 2021 10:36:16 +0100 Subject: Fix dead links + update Zola config --- static/know/concept/blochs-theorem/index.html | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) (limited to 'static/know/concept') diff --git a/static/know/concept/blochs-theorem/index.html b/static/know/concept/blochs-theorem/index.html index 26e3480..58a934e 100644 --- a/static/know/concept/blochs-theorem/index.html +++ b/static/know/concept/blochs-theorem/index.html @@ -49,7 +49,7 @@

Bloch’s theorem

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In quantum mechanics, Bloch’s theorem states that, given a potential V(r⃗)V(\vec{r}) which is periodic on a lattice, i.e. V(r⃗)=V(r⃗+a⃗)V(\vec{r}) = V(\vec{r} + \vec{a}) for a primitive lattice vector a⃗\vec{a}, then it follows that the solutions ψ(r⃗)\psi(\vec{r}) to the time-independent Schrödinger equation take the following form, where the function u(r⃗)u(\vec{r}) is periodic on the same lattice, i.e. u(r⃗)=u(r⃗+a⃗)u(\vec{r}) = u(\vec{r} + \vec{a}):

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In quantum mechanics, Bloch’s theorem states that, given a potential V(r⃗)V(\vec{r}) which is periodic on a lattice, i.e. V(r⃗)=V(r⃗+a⃗)V(\vec{r}) = V(\vec{r} + \vec{a}) for a primitive lattice vector a⃗\vec{a}, then it follows that the solutions ψ(r⃗)\psi(\vec{r}) to the time-independent Schrödinger equation take the following form, where the function u(r⃗)u(\vec{r}) is periodic on the same lattice, i.e. u(r⃗)=u(r⃗+a⃗)u(\vec{r}) = u(\vec{r} + \vec{a}):

ψ(r⃗)=u(r⃗)eik⃗⋅r⃗ \begin{aligned} \boxed{ -- cgit v1.3