Spectral uniqueness of radial semiclassical Schrodinger operators
Analysis of PDEs
2011-07-05 v2 Mathematical Physics
math.MP
Spectral Theory
Abstract
We prove that the spectrum of an n-dimensional semiclassical radial Schr\"odinger operator determines the potential within a large class of potentials for which we assume no symmetry or analyticity. Our proof is based on the first two semiclassical trace invariants and on the isoperimetric inequality.
Keywords
Cite
@article{arxiv.1010.4835,
title = {Spectral uniqueness of radial semiclassical Schrodinger operators},
author = {Kiril Datchev and Hamid Hezari and Ivan Ventura},
journal= {arXiv preprint arXiv:1010.4835},
year = {2011}
}
Comments
9 pages. This is a revision which includes a new section about how to handle the critical energy levels