Trace formulae for Schr\"odinger operators with complex-valued potentials on cubic lattices
Spectral Theory
2016-10-03 v1
Abstract
We consider Schr\"odinger operators with complex decaying potentials on the lattice. Using some classical results from Complex Analysis we obtain some trace formulae and using them estimate globally all zeros of the Fredholm determinant in terms of the potential.
Cite
@article{arxiv.1609.09703,
title = {Trace formulae for Schr\"odinger operators with complex-valued potentials on cubic lattices},
author = {Evgeny Korotyaev and Ari Laptev},
journal= {arXiv preprint arXiv:1609.09703},
year = {2016}
}
Comments
19 pages