A semiclassical heat trace expansion for the perturbed harmonic oscillator

Details A semiclassical heat trace expansion for the perturbed harmonic oscillator A semiclassical heat trace expansion for the perturbed harmonic oscillator

2011-07-14

arxiv.org/abs/1107.2960v2

Mathematics

Spectral Theory

13 pages. Corrected misspellings and minor computational errors

Scientific paper

In this paper we study a semiclassical heat trace expansion for perturbations
of the harmonic oscillator, by adapting to the semiclassical setting techniques
developed by Hitrik and Polterovich in [HP]. We use the expansion to obtain
certain inverse spectral results.

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