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}^< $) + $$ \mathbf{G}^{\mathrm{n}}=\mathbf{G}^{\mathrm{R}} \Sigma^{\mathrm{in}} \mathbf{G}^{\mathrm{A}} $$