A semiclassical heat trace expansion for the perturbed harmonic oscillator
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🧮 math.SP
keywords
expansionsemiclassicalharmonicheatoscillatortraceadaptingcertain
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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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