arXiv:1111.4035 Abstract | arXiv Analytics

arXiv:1111.4035 [math-ph]Abstract References Reviews Resources

Noncommutative sedeons and their application in field theory

Published 2011-11-17, updated 2015-02-26Version 2

We present sixteen-component values "sedeons", generating associative noncommutative space-time algebra. The generalized second-order and first-order equations of relativistic quantum mechanics based on sedeonic wave function and sedeonic space-time operators are proposed. We also discuss the description of fields with massive quantum on the basis of second-order and first-order equations for sedeonic potentials.

Comments: 18 pages, 2 tables

DOI: 10.4236/am.2013.410A3009

Categories: math-ph, math.MP

Subjects: 03.65.Fd, 03.65.Pm, 03.65.-w, 02.10.De

Keywords: field theory, noncommutative sedeons, associative noncommutative space-time algebra, application, first order dirac equation

Tags: journal article

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