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arXiv · 1010.4835

Spectral uniqueness of radial semiclassical Schrodinger operators

Kiril Datchev·Hamid Hezari·Ivan Ventura
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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.

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Kiril Datchev, Hamid Hezari, Ivan Ventura. 2010-10-23. Spectral uniqueness of radial semiclassical Schrodinger operators. https://arxiv.org/abs/1010.4835

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