Geometric quantization of weak-Hamiltonian functions

Izu Vaisman

doi:10.1016/j.geomphys.2008.09.001

Geometric quantization of weak-Hamiltonian functions

Izu Vaisman

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The paper presents an extension of the geometric quantization procedure to integrable, big-isotropic structures. We obtain a generalization of the cohomology integrality condition, we discuss geometric structures on the total space of the corresponding principal circle bundle and we extend the notion of polarization.

Original language	English
Pages (from-to)	35-49
Number of pages	15
Journal	Journal of Geometry and Physics
Volume	59
Issue number	1
DOIs	https://doi.org/10.1016/j.geomphys.2008.09.001
State	Published - Jan 2009

Keywords

Big-isotropic structure
Geometric prequantization data system
Polarization
Prequantization space

ASJC Scopus subject areas

Mathematical Physics
General Physics and Astronomy
Geometry and Topology

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10.1016/j.geomphys.2008.09.001

Cite this

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title = "Geometric quantization of weak-Hamiltonian functions",

abstract = "The paper presents an extension of the geometric quantization procedure to integrable, big-isotropic structures. We obtain a generalization of the cohomology integrality condition, we discuss geometric structures on the total space of the corresponding principal circle bundle and we extend the notion of polarization.",

keywords = "Big-isotropic structure, Geometric prequantization data system, Polarization, Prequantization space",

author = "Izu Vaisman",

year = "2009",

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KW - Big-isotropic structure

KW - Geometric prequantization data system

KW - Polarization

KW - Prequantization space

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M3 - Article

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JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

IS - 1

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Geometric quantization of weak-Hamiltonian functions

Abstract

Keywords

ASJC Scopus subject areas

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