From a43512d089dc35b012082cc075a89e012847c4a8 Mon Sep 17 00:00:00 2001 From: Lars kleyn Winkel <l.kleynwinkel@student.tudelft.nl> Date: Mon, 10 Feb 2020 20:14:14 +0000 Subject: [PATCH] Update src/7_tight_binding_model_sol.md --- src/7_tight_binding_model_sol.md | 7 +++++++ 1 file changed, 7 insertions(+) diff --git a/src/7_tight_binding_model_sol.md b/src/7_tight_binding_model_sol.md index 3f16d2e0..92126d5c 100644 --- a/src/7_tight_binding_model_sol.md +++ b/src/7_tight_binding_model_sol.md @@ -77,3 +77,10 @@ For the heat capacity we have: $$C = \frac{\partial U}{\partial T} = \int g(\ome The Schrödinger equation is given as: $|\Psi\rangle = \sum_n \phi_n |n\rangle$ such that we find $$ E\phi_n = E_0\phi_n - t\phi_{n-1} - t\phi_{n+1} - t'\phi_{n-2} - t'\phi_{n+2}$$. +### Subquestion 2 + +Solving the Schrödinger equation yields dispersion: $$E(k) = E_0 -t\cos(ka) -t'\cos(2ka)$$ + +### Subquestion 3 + + -- GitLab