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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2008 Volume 157, Number 3, Pages 425–435 (Mi tmf6290)

This article is cited in 3 papers

Model Dirac–Maxwell equations with pseudounitary symmetry

N. G. Marchuk

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: 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.

Keywords: Dirac equation, Maxwell equations, spinor, pseudounitary symmetry, gauge symmetry, spinorization.

Received: 10.04.2008

DOI: 10.4213/tmf6290


 English version:
Theoretical and Mathematical Physics, 2008, 157:3, 1723–1732

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© Steklov Math. Inst. of RAS, 2025