A special class of Dirac-Pauli equations with time-like vector potentials of an external field is investigated. An exactly solvable relativistic model describing the anomalous interaction of a neutral Dirac fermion with a cylindrically symmetric external electromagnetic field is presented. The related external field is a superposition of the electric field generated by a charged infinite filament and the magnetic field generated by a straight line current. In the nonrelativistic approximation the considered model is reduced to the integrable Pron’ko-Stroganov model.

Ferraro, E., Messina, A., & Nikitin, A.G. (2010). Exactly solvable relativistic model with the anomalous interaction. PHYSICAL REVIEW A, 81(4), 042108-1-042108-8 [10.1103/PhysRevA.81.042108].

Exactly solvable relativistic model with the anomalous interaction

MESSINA, Antonino;
2010

Abstract

A special class of Dirac-Pauli equations with time-like vector potentials of an external field is investigated. An exactly solvable relativistic model describing the anomalous interaction of a neutral Dirac fermion with a cylindrically symmetric external electromagnetic field is presented. The related external field is a superposition of the electric field generated by a charged infinite filament and the magnetic field generated by a straight line current. In the nonrelativistic approximation the considered model is reduced to the integrable Pron’ko-Stroganov model.
Settore FIS/02 - Fisica Teorica, Modelli E Metodi Matematici
Settore FIS/03 - Fisica Della Materia
Ferraro, E., Messina, A., & Nikitin, A.G. (2010). Exactly solvable relativistic model with the anomalous interaction. PHYSICAL REVIEW A, 81(4), 042108-1-042108-8 [10.1103/PhysRevA.81.042108].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/65904
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