Mathematical Research Letters

Volume 18 (2011)

Number 3

Spectral uniqueness of radial semiclassical Schrödinger operators

Pages: 521 – 529

DOI: http://dx.doi.org/10.4310/MRL.2011.v18.n3.a12

Authors

Kiril Datchev (Massachusetts Institute of Technology, Cambridge, MA 02139)

Hamid Hezari (Massachusetts Institute of Technology, Cambridge, MA 02139)

Ivan Ventura (University of California at Berkeley, CA 94720)

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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