Advances in High Energy Physics

Advances in High Energy Physics / 2007 / Article

Research Article | Open Access

Volume 2007 |Article ID 012387 | https://doi.org/10.1155/2007/12387

Vladimir Dzhunushaliev, "Toy Models of a Nonassociative Quantum Mechanics", Advances in High Energy Physics, vol. 2007, Article ID 012387, 10 pages, 2007. https://doi.org/10.1155/2007/12387

Toy Models of a Nonassociative Quantum Mechanics

Academic Editor: George Siopsis
Received19 Jul 2007
Revised08 Sep 2007
Accepted18 Sep 2007
Published03 Oct 2007

Abstract

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.

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Copyright © 2007 Vladimir Dzhunushaliev. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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