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

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

1999-01-14

arxiv.org/abs/math-ph/9901005v1

Physics

Mathematical Physics

Scientific paper

10.1063/1.532968

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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