Toy models of a non-associative quantum mechanics

Details Toy models of a non-associative quantum mechanics Toy models of a non-associative quantum mechanics

2007-06-18

arxiv.org/abs/0706.2398v2

Advances in High Energy Physics, vol. 2007, Article ID 12387, 10 pages, 2007

Physics

Quantum Physics

main formulas are colored

Scientific paper

10.1155/2007/12387

Toy models of a non-associative quantum mechanics are presented. The Heisenberg equation of motion is modified using a non-associative commutator. Possible physical applications of a non-associative quantum mechanics are considered. The idea is discussed that a non-associative algebra could be the operator language for the non-perturbative quantum theory. In such approach the non-perturbative quantum theory has observables and unobservables quantities.

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