A non-associative quantum mechanics

Details A non-associative quantum mechanics A non-associative quantum mechanics

2005-02-24

arxiv.org/abs/hep-th/0502216v5

Found.Phys.Lett. 19 (2006) 157-167

Physics

High Energy Physics

High Energy Physics - Theory

one typo in Eq. (23) is corrected

Scientific paper

10.1007/s10702-006-0373-2

A non-associative quantum mechanics is proposed in which the product of three and more operators can be non-associative one. The multiplication rules of the octonions define the multiplication rules of the corresponding operators with quantum corrections. The self-consistency of the operator algebra is proved for the product of three operators. Some properties of the non-associative quantum mechanics are considered. It is proposed that some generalization of the non-associative algebra of quantum operators can be helpful for understanding of the algebra of field operators with a strong interaction.

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