Original Manuscript September 1, 2011 (International Conference on Spectral
Geometry held at Dartmouth College on July 19-23, 2010)In this paper we study the heat trace expansion of the perturbed harmonic oscillator by adapting to the semiclassical setting techniques developed by Hitrick-Polterovich in [HP]. We use the expansion to obtain certain inverse spectral results.National Science Foundation (U.S.) (Grant DMS-1005696
