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Advances in High Energy Physics
Volume 2007, Article ID 12387, 10 pages
Research Article

Toy Models of a Nonassociative Quantum Mechanics

Department of Physics and Microelectronics Engineering, Kyrgyz-Russian Slavic University, 44 Kievskaya Street, Bishkek 720021, Kyrgyzstan

Received 19 July 2007; Revised 8 September 2007; Accepted 18 September 2007

Academic Editor: George Siopsis

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.


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.