Generalized Wannier Functions
Materials Science
2015-11-25 v2 Statistical Mechanics
Abstract
We consider single particle Schrodinger operators with a gap in the en ergy spectrum. We construct a complete, orthonormal basis function set for the inv ariant space corresponding to the spectrum below the spectral gap, which are exponentially localized a round a set of closed surfaces of monotonically increasing sizes. Estimates on the exponential dec ay rate and a discussion of the geometry of these surfaces is included.
Cite
@article{arxiv.0711.1447,
title = {Generalized Wannier Functions},
author = {Emil Prodan},
journal= {arXiv preprint arXiv:0711.1447},
year = {2015}
}