6533b7defe1ef96bd1275dfd

RESEARCH PRODUCT

Exactly solvable relativistic model with the anomalous interaction

Elena FerraroAntonino MessinaA. G. Nikitin

subject

Electromagnetic fieldPhysicsSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciMeccanica QuantisticaFermionRelativitàAtomic and Molecular Physics and OpticsSymmetry (physics)Settore FIS/03 - Fisica Della MateriaMagnetic fieldSuperposition principlesymbols.namesakeDirac fermionQuantum electrodynamicsElectric fieldsymbolsRelativistic wave equations

description

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.

10.1103/physreva.81.042108http://hdl.handle.net/10447/65904