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arXiv · 0909.5543

New exactly solvable relativistic models with anomalous interaction

Elena Ferraro·Antonino Messina·A. G. Nikitin
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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.

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Elena Ferraro, Antonino Messina, A. G. Nikitin. 2011-05-06. New exactly solvable relativistic models with anomalous interaction. https://doi.org/10.1103/physreva.81.042108

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