From c6278c88f78c8e2fd7fdc45a6e079398d288fa91 Mon Sep 17 00:00:00 2001 From: Lars kleyn Winkel <l.kleynwinkel@student.tudelft.nl> Date: Thu, 13 Feb 2020 13:54:34 +0000 Subject: [PATCH] Update src/8_many_atoms_sol.md --- src/8_many_atoms_sol.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/src/8_many_atoms_sol.md b/src/8_many_atoms_sol.md index 3938dbd5..64d3eeb6 100644 --- a/src/8_many_atoms_sol.md +++ b/src/8_many_atoms_sol.md @@ -36,8 +36,8 @@ A unit cell consits of exactly one $t_1$ and exactly $t_2$ hopping. ### Subquestion 2 Using the hint we find: -$$ E \phi_0 = \epsilon \phi_0 + t_1 \psi_0 + t_2 \psi_0 e^{ika} $$ -$$ E \psi_0 = \epsilon \psi_0 + t_2 \phi_0 e^{-ika} + t_2 \phi_0 $$ +$$ E \phi_0 = \epsilon \phi_0 + t_1 \psi_0 + t_2 \psi_0 e^{-ika} $$ +$$ E \psi_0 = \epsilon \psi_0 + t_2 \phi_0 e^{ika} + t_2 \phi_0 $$ Notice that the hopping, in this case, is without the '-'-sign! -- GitLab