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Physical Sciences and Engineering Mathematics Mathematical Physics

Quantization via Deformation of Prequantization

Article ID Journal Published Year Pages File Type
1901055 Reports on Mathematical Physics 2012 14 Pages PDF
Abstract

We introduce the notion of a “Souriau bracket” on a prequantum circle bundle Y over a phase space X and explain how a deformation of Y in the direction of this bracket provides a genuine quantization of X.

Keywords
Geometric quantizationDeformation quantization
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
Preview
Quantization via Deformation of Prequantization
Authors
Christian Duval, Mark J. Gotay,
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Journal
Reports on Mathematical Physics
Journal: Reports on Mathematical Physics
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