Green’s Function of a Lattice Electron with or without Uniform External Magnetic Field

Abstract

In the present paper the Green-function of the lattice electron is calculated by use of the Wannier functions. Then the Green-functions of the free-electron in uniform fields are given and also the Green-function of the lattice electron in a uniform magnetic field, by considering the periodic potential as a perturbation, by use of the Schrauben functions.