Semiclassical states associated to isotropic submanifolds of phase space
Analysis of PDEs
2016-06-22 v2 Mathematical Physics
math.MP
Abstract
We define classes of quantum states associated to 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 semiclassical symbol calculus for them; the symbols are symplectic spinors. We outline various applications.
Keywords
Cite
@article{arxiv.1511.01241,
title = {Semiclassical states associated to isotropic submanifolds of phase space},
author = {Victor Guillemin and Alejandro Uribe and Zuoqin Wang},
journal= {arXiv preprint arXiv:1511.01241},
year = {2016}
}
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27 pages