paper

Classical Mechanics and geometric Quantization on an Infinite Dimensional Disc and Grassmannian

arXiv:math-ph/9901005 · doi:10.1063/1.532968

Abstract

We discuss the classical mechanics on the Grassmannian and the Disc modeled on the ideal L^(2,\infty)(H). We apply methods of geometric quantization to these systems. Their relation to a flat symplectic space is also discussed.

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