Semiclassical states associated to isotropic submanifolds of phase space
arXiv:1511.01241 · doi:10.1007/s11005-016-0853-7
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.
27 pages