Semiclassical States Associated with Isotropic Submanifolds of Phase Space
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11005_2016_Article_853.pdf
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Author(s)
Uribe, A.
Wang, Z.
Guillemin, Victor W
Date Issued
May 2016
Journal
Letters in Mathematical Physics
Publisher
Springer Netherlands
Citation
Guillemin, V., A. Uribe, and Z. Wang. “Semiclassical States Associated with Isotropic Submanifolds of Phase Space.” Letters in Mathematical Physics 106, no. 12 (May 18, 2016): 1695–1728.
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Author's final manuscript
Abstract
We define classes of quantum states associated with isotropic submanifolds of cotangent bundles. The classes are stable under the action of semiclassical pseudo-differential operators and covariant under the action of semiclassical Fourier integral operators. We develop a symbol calculus for them; the symbols are symplectic spinors. We outline various applications.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s11005-016-0853-7
