p-Mechanics as a Physical Theory. An Introduction

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dc.creatorKisil, Vladimir V.
dc.date2002-12-17
dc.date2003-10-10
dc.date.accessioned2026-07-07T06:05:44Z
dc.date.available2026-07-07T06:05:44Z
dc.descriptionThe paper provides an introduction into p-mechanics, which is a consistent physical theory suitable for a simultaneous description of classical and quantum mechanics. p-Mechanics naturally provides a common ground for several different approaches to quantisation (geometric, Weyl, coherent states, Berezin, deformation, Moyal, etc.) and has a potential for expansions into field and string theories. The backbone of p-mechanics is solely the representation theory of the Heisenberg group. Keywords: Classical mechanics, quantum mechanics, Moyal brackets, Poisson brackets, commutator, Heisenberg group, orbit method, deformation quantisation, symplectic group, representation theory, metaplectic representation, Berezin quantisation, Weyl quantisation, Segal--Bargmann--Fock space, coherent states, wavelet transform, contextual interpretation, string theory, field theory.
dc.descriptionLaTeX2e (amsart), 22 pages, 4 PS illustrations, v2 & v3 contain minor changes
dc.identifierhttps://arxiv.org/abs/quant-ph/0212101
dc.identifierhttp://arxiv.org/abs/quant-ph/0212101
dc.identifierJournal of Physics A: Mathematical and General, 2004, volume 37, issue 1, pages 183 - 204
dc.identifierdoi:10.1088/0305-4470/37/1/013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90734
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.subjectFunctional Analysis
dc.subjectRepresentation Theory
dc.titlep-Mechanics as a Physical Theory. An Introduction
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