Toy models of a non-associative quantum mechanics
Quantum Physics
2007-12-31 v2 High Energy Physics - Phenomenology
High Energy Physics - Theory
Rings and Algebras
Abstract
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.
Cite
@article{arxiv.0706.2398,
title = {Toy models of a non-associative quantum mechanics},
author = {Vladimir Dzhunushaliev},
journal= {arXiv preprint arXiv:0706.2398},
year = {2007}
}