Mathematical Research Letters
Volume 18 (2011)
Spectral uniqueness of radial semiclassical Schrödinger operators
Pages: 521 – 529
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.
Published 20 May 2011