dorsal/arxiv
View Schemap-Mechanics as a Physical Theory. An Introduction
| Authors | Vladimir V. Kisil |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0212101 |
| URL | https://arxiv.org/abs/quant-ph/0212101 |
| DOI | 10.1088/0305-4470/37/1/013 |
| Journal | Journal of Physics A: Mathematical and General, 2004, volume 37, issue 1, pages 183 - 204 |
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.
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"abstract": "The paper provides an introduction into p-mechanics, which is a consistent\nphysical theory suitable for a simultaneous description of classical and\nquantum mechanics. p-Mechanics naturally provides a common ground for several\ndifferent approaches to quantisation (geometric, Weyl, coherent states,\nBerezin, deformation, Moyal, etc.) and has a potential for expansions into\nfield and string theories. The backbone of p-mechanics is solely the\nrepresentation theory of the Heisenberg group. Keywords: Classical mechanics,\nquantum mechanics, Moyal brackets, Poisson brackets, commutator, Heisenberg\ngroup, orbit method, deformation quantisation, symplectic group, representation\ntheory, metaplectic representation, Berezin quantisation, Weyl quantisation,\nSegal--Bargmann--Fock space, coherent states, wavelet transform, contextual\ninterpretation, string theory, field theory.",
"arxiv_id": "quant-ph/0212101",
"authors": [
"Vladimir V. Kisil"
],
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"quant-ph",
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"doi": "10.1088/0305-4470/37/1/013",
"journal_ref": "Journal of Physics A: Mathematical and General, 2004, volume 37,\n issue 1, pages 183 - 204",
"title": "p-Mechanics as a Physical Theory. An Introduction",
"url": "https://arxiv.org/abs/quant-ph/0212101"
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