A semiclassical heat trace expansion for the perturbed harmonic oscillator
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Guillemin_A semiclassical heat.pdf
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Author(s)
Guillemin, Victor W.
Uribe, A.
Wang, Z.
Date Issued
2012
Journal
Spectral Geometry
Publisher
American Mathematical Society
Citation
Guillemin, Victor, Uribe, Alejandro, and Wang, Zuoqin. "A semiclassical heat trace expansion for the perturbed harmonic oscillator." International Conference on Spectral Geometry. Spectral Geometry. Ed. Barmett, Alex H., Gordon, Carolyn S., Perry, Peter A., Uribe, Alejandro. (Proceedings of Symposia in Pure Mathematics volume 84), 2012. Print.
Version
Original manuscript
Abstract
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.
Description
Original Manuscript September 1, 2011 (International Conference on Spectral
Geometry held at Dartmouth College on July 19-23, 2010)
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike 3.0
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http://books.google.com/books?id=YoLsaUflML4C&pg=PA181&lpg=PA181&dq=A+semiclassical+heat+trace+expansion+for+the+perturbed+harmonic+oscillator&source=bl&ots=VJXQSrXZT8&sig=OUsZwdHPqAtK2_arnEI4ZuClMcI&hl=en&sa=X&ei=YKobUruqI9b54AO4oIE4&ved=0CEAQ6AEwAw#v=onepage&q=A%20semiclassical%20heat%20trace%20expansion%20for%20the%20perturbed%20harmonic%20oscillator&f=false
