Density of States of an Electron in a Gaussian Random Potential for (4-epsilon)-dimensional Space

I. M. Suslov

Published 1997-03-03Version 1

The density of states for the Schroedinger equation with a Gaussian random potential is calculated in a space of dimension d=4-epsilon in the entire energy range including the vicinity of a mobility edge. Leading terms in 1/epsilon are taken into account for N \sim 1 (N is an order of perturbation theory) while all powers of 1/epsilon are essential for N>>1 with calculation of the expansion coefficients in the leading order in N.