From afef638cae360099baec58a4f7d1d83f4414a22d Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Libor=20Voj=C3=A1=C4=8Dek?= <vojaceklibor@gmail.com>
Date: Sat, 13 Apr 2024 07:58:05 +0200
Subject: [PATCH] update README with NEGF equations

---
 README.md | 4 ++++
 1 file changed, 4 insertions(+)

diff --git a/README.md b/README.md
index ec32fc3..2c198a3 100644
--- a/README.md
+++ b/README.md
@@ -25,21 +25,25 @@ The complete description and calculation are provided in the ```examples/one-dim
 ## NEGF Equations
 
 The *retarded Green's function*
+
 $$
 \mathbf{G}^{\mathrm{R}}=[E \mathbf{I}-\mathbf{H}-\mathbf{\Sigma}]^{-1}
 $$
 
 along with the *advanced Green's function*
+
 $$
     \mathbf{G}^{\mathrm{A}} = \left[ \mathbf{G}^{\mathrm{R}} \right]^\dagger
 $$
 
 provide the *spectral function*
+
 $$
 \mathbf{A}=i\left[\mathbf{G}^{\mathrm{R}}-\mathbf{G}^{\mathrm{A}}\right]
 $$
 
 and are used to solve for the *"electron occupation" Green's function* ($\mathbf{G}^{\mathrm{n}} \equiv -i \mathbf{G}^< $)
+
 $$
 \mathbf{G}^{\mathrm{n}}=\mathbf{G}^{\mathrm{R}} \Sigma^{\mathrm{in}} \mathbf{G}^{\mathrm{A}}
 $$