Scattering of relativistic particles by a Coulomb field in two dimensions

Abstract

The scattering of relativistic Dirac particles by a Coulomb field $\pm Z{e}^2/r$ in two dimensions is studied and the scattering amplitude is obtained as a partial wave series. For small $Z$ the series can be summed up approximately to give a closed form. The result, though being aproximate, exhibites some nonperturbative feature and cannot be obtained from perturbative quantum electrodynamics at the tree level.

REVTeX, 9 pages, no figure

References in corpus (2)

• Levinson theorem for Dirac particles in two dimensions
• Quantum-mechanical model for particles carrying electric charge and magnetic flux in two dimensions

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