Abstract:
We show that in 2+1 dimensions, the Dirac equation for a neutral fermion possessing electric and magnetic dipole moments in an external electromagnetic field reduces to the Dirac equation for a “charged” fermion in a external field characterized by a certain “3-pseudo-vector potential”. The effective charge of the neutral fermion is determined by its dipole moments. The effects of coupling electric and magnetic moments of the neutral fermion to the external electromagnetic field seem to be inseparable in physical experiments of any type. We find an exact solution of the Dirac equation for a massive neutral fermion with electric and magnetic dipole moments in a external plane-wave electromagnetic field. We derive expressions for the fermionic vacuum current induced by neutral fermions in the presence of external electromagnetic fields.
Citation:
V. R. Khalilov, “Neutral Fermion Having Electric and Magnetic Moments in an External Electromagnetic Field”, TMF, 129:1 (2001), 55–67; Theoret. and Math. Phys., 129:1 (2001), 1357–1368
\Bibitem{Kha01}
\by V.~R.~Khalilov
\paper Neutral Fermion Having Electric and Magnetic Moments in an External Electromagnetic Field
\jour TMF
\yr 2001
\vol 129
\issue 1
\pages 55--67
\mathnet{http://mi.mathnet.ru/tmf519}
\crossref{https://doi.org/10.4213/tmf519}
\zmath{https://zbmath.org/?q=an:1035.81014}
\transl
\jour Theoret. and Math. Phys.
\yr 2001
\vol 129
\issue 1
\pages 1357--1368
\crossref{https://doi.org/10.1023/A:1012415427220}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000172400800006}
Linking options:
https://www.mathnet.ru/eng/tmf519
https://doi.org/10.4213/tmf519
https://www.mathnet.ru/eng/tmf/v129/i1/p55
This publication is cited in the following 6 articles:
Z Bentalha, “Two dimensional relativistic electron in a constant magnetic field”, Phys. Scr., 97:6 (2022), 065001
Oliveira R.R.S., Araujo Filho A.A., “Thermodynamic Properties of Neutral Dirac Particles in the Presence of An Electromagnetic Field”, Eur. Phys. J. Plus, 135:1 (2020)
Gretel Quintero Angulo, Aurora Pérez Martínez, Hugo Pérez Rojas, “Condensation of Neutral Vector Bosons with Magnetic Moment”, Int. J. Mod. Phys. Conf. Ser., 45 (2017), 1760047
Khalilov, VR, “Fermion Pair Production in Planar Coulomb and Aharonov-Bohm Potentials”, Chinese Journal of Physics, 47:3 (2009), 294
Khalilov VR, “Relativistic Aharonov-Bohm effect in the presence of planar Coulomb potentials”, Physical Review A, 71:1 (2005), 012105
V. R. Khalilov, “A $(2+1)$-Dimensional Gauge Model with Electrically Charged Fermions”, Theoret. and Math. Phys., 140:3 (2004), 1229–1240