Finslerian 3-spinors and the generalized Duffin-Kemmer equation
Mathematical Physics
2011-02-11 v1 math.MP
Abstract
The main facts of the geometry of Finslerian 3-spinors are formulated. The close connection between Finslerian 3-spinors and vectors of the 9-dimensional linear Finslerian space is established. The isometry group of this space is described. The procedure of dimensional reduction to 4-dimensional quantities is formulated. The generalized Duffin-Kemmer equation for a Finslerian 3-spinor wave function of a free particle in the momentum representation is obtained. From the viewpoint of a 4-dimensional observer, this 9-dimensional equation splits into the standard Dirac and Klein-Gordon equations.
Keywords
Cite
@article{arxiv.0906.2907,
title = {Finslerian 3-spinors and the generalized Duffin-Kemmer equation},
author = {A. V. Solov'yov},
journal= {arXiv preprint arXiv:0906.2907},
year = {2011}
}
Comments
LaTeX2e, 11 pages, no figures, will be published in "Fundamental and Applied Mathematics"