Trace formulas for Schr\"odinger operators with complex potentials
Spectral Theory
2017-12-27 v1
Abstract
We consider 3-dim Schr\"odinger operators with a complex potential. We obtain new trace formulas. In order to prove these results we study analytic properties of a modified Fredholm determinant. In fact we reformulate spectral theory problems as the problems of analytic functions from Hardy spaces in upper half-plane.
Cite
@article{arxiv.1712.09053,
title = {Trace formulas for Schr\"odinger operators with complex potentials},
author = {Evgeny Korotyaev},
journal= {arXiv preprint arXiv:1712.09053},
year = {2017}
}