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p-mechanics as a physical theory: an introduction

Vladimir V Kisil1

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This paper provides an introduction to 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 quantization (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.


PACS

03.65.Fd Algebraic methods

02.20.Qs General properties, structure, and representation of Lie groups

03.65.-w Quantum mechanics

MSC

81R15 Operator algebra methods (See also 46Lxx, 81T05)

81R05 Finite-dimensional groups and algebras motivated by physics and their representations (See also 20C35, 22E70)

Subjects

Mathematical physics

Quantum information and quantum mechanics

Dates

Issue 1 (9 January 2004)

Received 19 May 2003

Published 10 December 2003



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