Spectral uniqueness of radial semiclassical Schrodinger operators

Details Spectral uniqueness of radial semiclassical Schrodinger operators Spectral uniqueness of radial semiclassical Schrodinger operators

2010-10-23

arxiv.org/abs/1010.4835v2

Math. Research Letters, Volume 18, Issue 3, May 2011, Pages 521-529

Mathematics

Analysis of PDEs

9 pages. This is a revision which includes a new section about how to handle the critical energy levels

Scientific paper

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.

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