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On the Generalized Dirac Equation for Fermions with Two Mass States | S. I. Kruglov
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7 Aug 2004 | Journal: | Annales Fond.Broglie 29 (2004) 1005-1016 | Subject: | quant-ph hep-ph hep-th | Abstract: | The 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 | Services: | Forum | Review | PDF | Favorites |
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