An Improved Combes-Thomas Estimate of Magnetic Schr\"{o}dinger Operators
Mathematical Physics
2014-01-13 v2 Analysis of PDEs
math.MP
Spectral Theory
Abstract
In the present paper, we prove an improved Combes-Thomas estimate, i.e., the Combes-Thomas estimate in trace-class norms, for magnetic Schr\"{o}dinger operators under general assumptions. In particular, we allow unbounded potentials. We also show that for any function in the Schwartz space on the reals the operator kernel decays, in trace-class norms, faster than any polynomial.
Keywords
Cite
@article{arxiv.1207.3782,
title = {An Improved Combes-Thomas Estimate of Magnetic Schr\"{o}dinger Operators},
author = {Zhongwei Shen},
journal= {arXiv preprint arXiv:1207.3782},
year = {2014}
}
Comments
25 pages, some errors corrected