Dirac equation and the Melvin Metric

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.

12 pages, 3 figures

References in corpus (4)

• Spin dynamics in gravitational fields of rotating bodies and the equivalence principle
• Spin-torsion coupling and gravitational moments of Dirac fermions: theory and experimental bounds
• Constraining relativistic models through heavy ion collisions
• Gyratons on Melvin spacetime

Cited by in corpus (22)

• Relativistic quantum motion of spin-0 particles under the influence of non-inertial effects in the cosmic string space-time
• Scalar bosons under the influence of noninertial effects in the cosmic string spacetime
• PDM Klein-Gordon oscillators in cosmic string spacetime in magnetic and Aharonov-Bohm flux fields within the Kaluza-Klein theory
• Effects of gravity rainbow on scalar bosonic and oscillator fields in Bonnor-Melvin space-time with a cosmological constant
• Relativistic spin-0 Duffin-Kemmer-Petiau equation in Bonnor-Melvin-Lambda solution
• Scalar fields in Bonnor-Melvin Universe with potential: A study of dynamics of spin-0 particles-antiparticles
• Klein-Gordon oscillator in a topologically nontrivial space-time
• Quantum dynamics of scalar particles in the space-time of a cosmic string in the context of gravity's rainbow
• Quantum dynamics of spin-0 particles in a cosmological space-time
• Fermions in the Rindler spacetime
• The Dirac Equation in (1+2)-dimensional Gürses space-time backgrounds
• PDM relativistic quantum oscillator in Einstein-Maxwell-Lambda space-time
• Landau levels in a gravitational field: The Schwarzschild spacetime case
• Landau levels in a gravitational field: The Levi-Civita and Kerr spacetimes case
• Charged scalar bosons in a Bonnor-Melvin-$\Lambda$ universe at conical approximation
• Bound and Scattering States in a Spacetime with Dual Topological Defects: Cosmic String and Global Monopole
• Scalar bosons in Bonnor-Melvin-$\Lambda$ universe: Exact solution, Landau levels and Coulomb-like potential
• Static and Dynamic Melvin Universes
• Spin-1/2 particles under the influence of a uniform magnetic field in the interior Schwarzschild solution
• Klein-Gordon oscillator subject to a Coulomb-type potential in Bonnor-Melvin universe with a cosmological constant
• Investigation of spin-$0$ massive charged particle subject to a homogeneous magnetic field with potentials in a topologically trivial flat class of Gödel-type space-time
• Charged scalar boson in Melvin universe