p-Mechanics as a Physical Theory. An Introduction
Abstract
The 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.
Cite
@article{arxiv.quant-ph/0212101,
title = {p-Mechanics as a Physical Theory. An Introduction},
author = {Vladimir V. Kisil},
journal= {arXiv preprint arXiv:quant-ph/0212101},
year = {2007}
}
Comments
LaTeX2e (amsart), 22 pages, 4 PS illustrations, v2 & v3 contain minor changes