Exactly solvable relativistic model with the anomalous interaction
- Authors: Ferraro, E; Messina, A; Nikitin, AG
- Publication year: 2010
- Type: Articolo in rivista (Articolo in rivista)
- Key words: Relatività ; Meccanica Quantistica
- OA Link: http://hdl.handle.net/10447/65904
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.