Generalized equation of relativistic quantum mechanics in a gauge field
Abstract
We develop an unified algebraic approach to the description of gauge interactions within the framework of a new concept of quantum mechanics. The next step in generalizing the space-time and the action vector space is made. The gauge field is defined through linear mappings in the generalized space-time and the action space. Relativistic quantum mechanics equations for particles in a gauge field are derived from the structure equations for the action space expanded in the linear mappings of action vectors. In a special case, these equations are reduced to the relativistic equations for the leptons in the electroweak field. As against the standard Glashow-Weinberg-Salam model, the set of equations includes the equation for the right neutrino interacting only with the weak Z-field.
Keywords
Cite
@article{arxiv.quant-ph/9909087,
title = {Generalized equation of relativistic quantum mechanics in a gauge field},
author = {A. A. Ketsaris},
journal= {arXiv preprint arXiv:quant-ph/9909087},
year = {2007}
}
Comments
13 pages, no figures, uses revtex, submitted to Phys.Rev.D