Abstract
A relativistic wave equation for spin 1/2 particles in the Melvin space-time, a space-time where the metric is determined by a magnectic field, is obtained. The effects of very intense magnetic fields in the energy levels, as intense as the ones expected to be produced in ultra-relativistic heavy-ion collisions, are investigated.
Highlights
In the past few years systems with extreme magnetic fields (B > 1015 G) have been proposed to exist
When the magnetic field and pz goes to zero, we obtain the expression for the rest energy of the particle, σ = Mc2
Which corresponds to the usual spectrum obtained from a Dirac equation in a flat space with a vector potential
Summary
In the past few years systems with extreme magnetic fields (B > 1015 G) have been proposed to exist. When studying particles inside these systems (electrons inside stars, and so on), the usual way is to solve the Dirac equation [6,7], for example, and find the energy levels, and in general, the Minkowski space-time is considered.
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