Generalized equation of relativistic quantum mechanics in a gauge field

Details Generalized equation of relativistic quantum mechanics in a gauge field Generalized equation of relativistic quantum mechanics in a gauge field

1999-09-28

arxiv.org/abs/quant-ph/9909087v1

Physics

Quantum Physics

13 pages, no figures, uses revtex, submitted to Phys.Rev.D

Scientific paper

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.

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