Dynamical Invariance of a New Metaplectic-c Quantization Condition
Abstract
Metaplectic-c quantization was developed by Robinson and Rawnsley as an alternative to the classical Kostant-Souriau quantization procedure with half-form correction. Given a metaplectic-c quantizable symplectic manifold M and a smooth function H on M, this paper proposes a condition under which E, a regular value of H, is a quantized energy level for the system. The condition is evaluated on a bundle over the level set of H at E. We prove that the result depends only on the geometry of the level set, and not on the dynamics of a particular function, improving on an earlier construction by Robinson.
Cite
@article{arxiv.1507.06720,
title = {Dynamical Invariance of a New Metaplectic-c Quantization Condition},
author = {Jennifer Vaughan},
journal= {arXiv preprint arXiv:1507.06720},
year = {2015}
}
Comments
23 pages. Some clarifying remarks in Sections 3 and 4. Added version of quantization condition applicable to Kostant-Souriau prequantization circle bundles, and compared its properties to the metaplectic-c formulation