The density of surface states as the total time delay
Mathematical Physics
2016-11-03 v2 math.MP
Abstract
For a scattering problem of tight-binding Bloch electrons by a weak random surface potential, a generalized Levinson theorem is put forward showing the equality of the total density of surface states and the density of the total time delay. The proof uses explicit formulas for the wave operators in the new rescaled energy and interaction (REI) representation, as well as an index theorem for adequate associated operator algebras.
Keywords
Cite
@article{arxiv.1305.2187,
title = {The density of surface states as the total time delay},
author = {Hermann Schulz-Baldes},
journal= {arXiv preprint arXiv:1305.2187},
year = {2016}
}
Comments
Suggestions of referees incorporated and errors corrected. To appear in Lett. Math. Phys