A Non-associative quantum mechanics - INSPIRE

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A Non-associative quantum mechanics

Vladimir Dzhunushaliev
(
- Kyrgyz-Russian Slavic U.
)

Feb, 2005

6 pages

Published in:

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

e-Print:

hep-th/0502216 [hep-th]

DOI:

10.1007/s10702-006-0373-2

View in:

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Abstract:

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.

octonions
non-associative algebra
non-perturbative quantization
quantum mechanics: nonassociative
octonion
operator: algebra

References(8)

Figures(0)

The Octonions

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