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.