Hamilton's equations in a non-associative quantum theory

Vladimir Dzhunushaliev

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arXiv · hep-th/0602047

Hamilton's equations in a non-associative quantum theory

Vladimir Dzhunushaliev

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Abstract

A new non-associative algebra for the quantization of strongly interacting fields is proposed. The full set of quantum $(\pm)$associators for the product of three operators is offered. An algorithm for the calculation of some $(\pm)$associators for the product of some four operators is offered. The possible generalization of Hamilton's equations for a non-associative quantum theory is proposed. Some arguments are given that a non-associative quantum theory can be a fundamental unifying theory.

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Vladimir Dzhunushaliev. 2006-02-05. Hamilton's equations in a non-associative quantum theory. https://arxiv.org/abs/hep-th/0602047

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