T. A. Osborn Digital Library

Cotangent Bundle Quantization: Entangling of Metric and Magnetic Field

M. F. Kondratieva1, T. A. Osborn2
1Department of Mathematics and Statistics, Memorial University of Newfoundland, Canada
2Department of Physics, University of Manitoba, Winnipeg, MB, Canada
Journal: Journal of Physics A: Mathematical and General | Year: 2005 | Pages: 19

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Abstract

The quantization of systems on cotangent bundles is studied, revealing the entanglement between metric and magnetic field structures. The analysis shows how the geometry of configuration space and the presence of magnetic fields combine in a non-trivial way in the quantum theory. The role of the symplectic structure in this entanglement is elucidated.

Keywords

Cotangent Bundle Quantization Differential Geometry Magnetic Field Metric Tensor Entanglement Symplectic Structure

Metadata

Date2005
PublisherIOP Publishing
LanguageEnglish
Pages19
PACS Codes03.65.Sq, 02.40.Ky

Citation

M. F. Kondratieva, T. A. Osborn, "Cotangent Bundle Quantization: Entangling of Metric and Magnetic Field," Journal of Physics A: Mathematical and General 38, 10503-10521 (2005).

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