Deformation Quantization For Actions Of Rd̳ Marc A. Rieffel

ISBN: 9780821825754

Published: April 1st 1994

Paperback

93 pages


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Deformation Quantization For Actions Of Rd̳  by  Marc A. Rieffel

Deformation Quantization For Actions Of Rd̳ by Marc A. Rieffel
April 1st 1994 | Paperback | PDF, EPUB, FB2, DjVu, audiobook, mp3, RTF | 93 pages | ISBN: 9780821825754 | 6.52 Mb

This work describes a general construction of a deformation quantization for any Poisson bracket on a manifold which comes from an action of R ]d on that manifold. These deformation quantizations are strict, in the sense that the deformed product ofMoreThis work describes a general construction of a deformation quantization for any Poisson bracket on a manifold which comes from an action of R ]d on that manifold.

These deformation quantizations are strict, in the sense that the deformed product of any two functions is again a function and that there are corresponding involutions and operator norms. Many of the techniques involved are adapted from the theory of pseudo-differential operators. The construction is shown to have many favorable properties. A number of specific examples are described, ranging from basic ones such as quantum disks, quantum tori, and quantum spheres, to aspects of quantum groups.



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