Regular Article - Theoretical Physics
Dirac equation and the Melvin metric
Depto de Física-CFM, Universidade Federal de Santa Catarina, CP. 476, Florianópolis, SC, CEP 88.040-900, Brazil
* e-mail: firstname.lastname@example.org
Accepted: 29 September 2016
Published online: 20 October 2016
A relativistic wave equation for spin 1/2 particles in the Melvin space-time, a space-time where the metric is determined by a magnetic field, is obtained. The energy levels for these particles are obtained as functions of the magnetic field and compared with the ones calculated with the Dirac equation in the flat Minkowski space-time. The numeric values for some magnetic fields of interest are shown. With these results, the effects of very intense magnetic fields on the energy levels, as intense as the ones expected to be produced in magnetars or in ultra-relativistic heavy-ion collisions, are investigated.
© The Author(s), 2016