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Generalized equation of relativistic quantum mechanics in a gauge field

A. A. Ketsaris
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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.

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A. A. Ketsaris. 1999-09-28. Generalized equation of relativistic quantum mechanics in a gauge field. https://arxiv.org/abs/quant-ph/9909087

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