34 research outputs found
Spectral uniqueness of radial semiclassical Schrodinger operators
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.Comment: 9 pages. This is a revision which includes a new section about how to
handle the critical energy level