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Feynman integration over octonions with application to quantum mechanics

✍ Scribed by S. V. Ludkovsky

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
517 KB
Volume
33
Category
Article
ISSN
0170-4214

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✦ Synopsis

The article is devoted to Gaussian quasi-measures and Feynman integrals on infinite-dimensional spaces with values in the octonion algebra. Their characteristic functionals are studied. Products and convolutions of characteristic functionals and quasi-measures are investigated. Theorems about properties of octonion-valued Gaussian quasi-measures and Feynman integrals are proved. Applications of the Feynman integration over octonions to quantum mechanics and partial differential equations are outlined.

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