%0 Journal Article
%T A non-associative quantum mechanics
%A Vladimir Dzhunushaliev
%J Mathematics
%D 2005
%I arXiv
%R 10.1007/s10702-006-0373-2
%X 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.
%U http://arxiv.org/abs/hep-th/0502216v5