Dirac equation and the Melvin Metric
Luis C. Nunes dos Santos, Celso C. Barros Jr
TL;DR
This paper derives a relativistic wave equation for spin 1/2 particles in Melvin space-time and explores how intense magnetic fields affect their energy levels, relevant for ultra-relativistic heavy-ion collisions.
Contribution
It introduces a new wave equation for particles in Melvin space-time and analyzes magnetic field effects on energy levels in extreme conditions.
Findings
Magnetic fields significantly alter energy levels of particles.
Derived wave equation applicable to intense magnetic field scenarios.
Potential implications for heavy-ion collision experiments.
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.
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