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26 April 2024
 
  » arxiv » quant-ph/0408056

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On the Generalized Dirac Equation for Fermions with Two Mass States
S. I. Kruglov ;
Date 7 Aug 2004
Journal Annales Fond.Broglie 29 (2004) 1005-1016
Subject quant-ph hep-ph hep-th
AbstractThe generalized Dirac equation of the second order, describing particles with spin 1/2 and two mass states, is analyzed. The projection operators extracting states with definite energy and spin projections are obtained. The first order generalized Dirac equation in the 20-dimensional matrix form and the relativistically invariant bilinear form are derived. We obtain the canonical energy-momentum tensor and density of the electromagnetic current expressed through the 20-component wave function. Minimal and non-minimal electromagnetic interactions of fermions are considered, and the quantum-mechanical Hamiltonian is found. It is shown that there are only causal propagations of waves in the approach considered.
Source arXiv, quant-ph/0408056
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