Noncommutative sedeons and their application in field theory
Mathematical Physics
2015-02-27 v2 math.MP
Abstract
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.
Cite
@article{arxiv.1111.4035,
title = {Noncommutative sedeons and their application in field theory},
author = {Victor L. Mironov and Sergey V. Mironov},
journal= {arXiv preprint arXiv:1111.4035},
year = {2015}
}
Comments
18 pages, 2 tables