Perturbation determinants, the spectral shift function, trace identities, and all that
Spectral Theory
2007-05-23 v1 Functional Analysis
Abstract
We discuss applications of the M. G. Kre\u{\i}n theory of the spectral shift function to the multi-dimensional Schr\"odinger operator as well as specific properties of this function, for example, its high-energy asymptotics. Trace identities for the Schr\"odinger operator are derived.
Keywords
Cite
@article{arxiv.math/0701301,
title = {Perturbation determinants, the spectral shift function, trace identities, and all that},
author = {D. R. Yafaev},
journal= {arXiv preprint arXiv:math/0701301},
year = {2007}
}