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math.SP2011
Band invariants for perturbations of the harmonic oscillator
Victor Guillemin, Alejandro Uribe, Zuoqin Wang
We study the direct and inverse spectral problems for semiclassical operators of the form $S = S_0 +\h^2V$, where $S_0 = \frac 12 \Bigl(-\h^2Δ_{\bbR^n} + |x|^2\Bigr)$ is the harmon…
math.SP2011
A semiclassical heat trace expansion for the perturbed harmonic oscillator
Victor Guillemin, Alejandro Uribe, Zuoqin Wang
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 an…