New exactly solvable relativistic models with anomalous interaction

Abstract

A special class of Dirac-Pauli equations with time-like vector potentials of external field is investigated. A new exactly solvable relativistic model describing anomalous interaction of a neutral Dirac fermion with a cylindrically symmetric external e.m. 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 non-relativistic approximation the considered model is reduced to the integrable Pron'ko-Stroganov model.

20 pages, discussion of the possibility to test the model experimentally id added as an Appendix, typos are corrected

References in corpus (2)

• Relativistic Coulomb problem for particles with arbitrary half-integer spin
• Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons

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