Toy Models of a Nonassociative Quantum Mechanics

Toy models of a nonassociative quantum mechanics are presented. The Heisenberg equation of motion is modified using a nonassociative commutator. Possible physical applications of a nonassociative quantum mechanics are considered. The idea is discussed that a nonassociative algebra could be the opera...

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Main Author: Vladimir Dzhunushaliev
Format: Article
Language:English
Published: Wiley 2007-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2007/12387
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author Vladimir Dzhunushaliev
author_facet Vladimir Dzhunushaliev
author_sort Vladimir Dzhunushaliev
collection DOAJ
description Toy models of a nonassociative quantum mechanics are presented. The Heisenberg equation of motion is modified using a nonassociative commutator. Possible physical applications of a nonassociative quantum mechanics are considered. The idea is discussed that a nonassociative algebra could be the operator language for the nonperturbative quantum theory. In such approach the nonperturbative quantum theory has observables and unobservables quantities.
format Article
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institution Kabale University
issn 1687-7357
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language English
publishDate 2007-01-01
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series Advances in High Energy Physics
spelling doaj-art-261dd70cbfaf4cddab2e830a735680802025-02-03T06:01:33ZengWileyAdvances in High Energy Physics1687-73571687-73652007-01-01200710.1155/2007/1238712387Toy Models of a Nonassociative Quantum MechanicsVladimir Dzhunushaliev0Department of Physics and Microelectronics Engineering, Kyrgyz-Russian Slavic University, 44 Kievskaya Street, Bishkek 720021, KyrgyzstanToy models of a nonassociative quantum mechanics are presented. The Heisenberg equation of motion is modified using a nonassociative commutator. Possible physical applications of a nonassociative quantum mechanics are considered. The idea is discussed that a nonassociative algebra could be the operator language for the nonperturbative quantum theory. In such approach the nonperturbative quantum theory has observables and unobservables quantities.http://dx.doi.org/10.1155/2007/12387
spellingShingle Vladimir Dzhunushaliev
Toy Models of a Nonassociative Quantum Mechanics
Advances in High Energy Physics
title Toy Models of a Nonassociative Quantum Mechanics
title_full Toy Models of a Nonassociative Quantum Mechanics
title_fullStr Toy Models of a Nonassociative Quantum Mechanics
title_full_unstemmed Toy Models of a Nonassociative Quantum Mechanics
title_short Toy Models of a Nonassociative Quantum Mechanics
title_sort toy models of a nonassociative quantum mechanics
url http://dx.doi.org/10.1155/2007/12387
work_keys_str_mv AT vladimirdzhunushaliev toymodelsofanonassociativequantummechanics