Dirac states of an electron in a circular intense magnetic field

Abstract

Neutron-star magnetospheres are structured by very intense magnetic fields extending from 100 to 10 5 km traveled by very energetic electrons and positrons with Lorentz factors up to $\sim$ 10 7. In this context, particles are forced to travel almost along the magnetic field with very small gyro-motion, potentially reaching the quantified regime. We describe the state of Dirac particles in a locally uniform, constant and curved magnetic field in the approximation that the Larmor radius is very small compared to the radius of curvature of the magnetic field lines. We obtain a result that admits the usual relativistic Landau states as a limit of null curvature. We will describe the radiation of these states, that we call quantum curvature or synchro-curvature radiation, in an upcoming paper.

Accepted in Physical Review D : http://journals.aps.org/prd/accepted/f2075Q13Mb71c110288178627e98766857e32b86c

References in corpus (3)

• Compact formulae, dynamics and radiation of charged particles under synchro-curvature losses
• Synchro-curvature radiation of charged particles in the strong curved magnetic fields
• Unified Classical and Quantum Radiation Mechanism for Ultra-Relativistic Electrons in Curved and Inhomogeneous Magnetic Fields

Cited by in corpus (2)

• Quantum theory of curvature and synchro-curvature radiation in a strong and curved magnetic field, and applications to neutron star magnetospheres
• Collision of ultra-relativistic proton with strong magnetic field: production of ultra-high energy photons and neutrinos