Scattering of relativistic particles by a Coulomb field in two dimensions

Details Scattering of relativistic particles by a Coulomb field in two dimensions Scattering of relativistic particles by a Coulomb field in two dimensions

1999-10-11

arxiv.org/abs/quant-ph/9910044v1

Phys.Lett. A260 (1999) 17-23

Physics

Quantum Physics

REVTeX, 9 pages, no figure

Scientific paper

10.1016/S0375-9601(99)00507-1

The scattering of relativistic Dirac particles by a Coulomb field $\pm Ze^2/r$ 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.

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