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Noncommutative geometry of phase space

By Maja Buric and John Madore

Abstract

A version of noncommutative geometry is proposed which is based on phase-space rather than position space. The momenta encode the information contained in the algebra of forms by a map which is the noncommutative extension of the duality between the tangent bundle and the cotangent bundle.Comment: Josh Goldberg Festschrift, 20 pages; a typo fixe

Topics: High Energy Physics - Theory, General Relativity and Quantum Cosmology
Publisher: 'Springer Science and Business Media LLC'
Year: 2011
DOI identifier: 10.1007/s10714-011-1231-5
OAI identifier: oai:arXiv.org:1110.0592

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