Spectral uniqueness of radial semiclassical Schrodinger operators

preprint2011arXivOpen access

Abstract

We prove that the spectrum of an n-dimensional semiclassical radial Schrödinger 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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