Geodesic
Model Dirac--Maxwell equations with pseudounitary symmetry
Teoretičeskaâ i matematičeskaâ fizika, Tome 157 (2008) no. 3, pp. 425-435

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We introduce a new system of equations called a model system of Dirac–Maxwell equations, reproducing the main properties of the standard system. At the same time, the model system of equations differs from the standard system in several ways; in particular, it is a tensor system and has a new symmetry with respect to the pseudounitary group. We also propose a version of the model system of Dirac–Maxwell equations with local (gauge) pseudounitary symmetry. We show that any spinor solution of the standard system of Dirac–Maxwell equations can be obtained from the corresponding tensor solution of the model system.
Mots-clés : Dirac equation
Keywords: Maxwell equations, spinor, pseudounitary symmetry, gauge symmetry, spinorization. 
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     author = {N. G. Marchuk},
     title = {Model {Dirac--Maxwell} equations with pseudounitary symmetry},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {425--435},
     publisher = {mathdoc},
     volume = {157},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_157_3_a8/}
}
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N. G. Marchuk. Model Dirac--Maxwell equations with pseudounitary symmetry. Teoretičeskaâ i matematičeskaâ fizika, Tome 157 (2008) no. 3, pp. 425-435. http://geodesic.mathdoc.fr/item/TMF_2008_157_3_a8/