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Scattering of relativistic particles with Aharonov-Bohm-Coulomb interaction in two dimensions | | Qiong-gui Lin
; | | Date: |
27 Jul 2000 | | Journal: | J.Phys. A33 (2000) 5049-5057 | | Subject: | quant-ph hep-th | | Abstract: | The Aharonov-Bohm-Coulomb potentials in two dimensions may describe the interaction between two particles carrying electric charge and magnetic flux, say, Chern--Simons solitons, or so called anyons. The scattering problem for such two-body systems is extended to the relativistic case, and the scattering amplitude is obtained as a partial wave series. The electric charge and magnetic flux is ($-q$, $-phi/Z$) for one particle and ($Zq$, $phi$) for the other. When $(Zq^2/hbar c)^2ll 1$, and $qphi/2pihbar c$ takes on integer or half integer values, the partial wave series is summed up approximately to give a closed form. The results exhibit some nonperturbative features and cannot be obtained from perturbative quantum electrodynamics at the tree level. | | Source: | arXiv, quant-ph/0007103 | | Services: | Forum | Review | PDF | Favorites | |
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