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- W2227244311 abstract "Maxwell's equations associated with (2+1)-dimensional electrodynamics plus a Chern-Simons term are solved for the electromagnetic potentials ${A}^{ensuremath{mu}}$(r) using matrix methods originally proposed by Moses [Phys. Rev. 113, 1670 (1959)] for 3+1 dimensions. Static as well as time-dependent solutions in the presence of sources are obtained. Additionally, for the former, closed-form expressions, which agree with the asymptotic (rensuremath{rightarrow}ensuremath{infty}) limit for ${A}^{ensuremath{mu}}$(r) in the literature, are worked out easily. Using these results for static potentials, a qualitative discussion of the relativistic hydrogen atom in 2+1 dimensions is presented. It is shown that the Klein paradox, which preempts the possibility of bound-state solutions with the usual logarithmically increasing Coulomb potential in 2+1 dimensions, is easily evaded with the presence of the Chern-Simons term. Attempts to formulate a quantitative approach to the problem are briefly discussed." @default.
- W2227244311 created "2016-06-24" @default.
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- W2227244311 date "1989-12-01" @default.
- W2227244311 modified "2023-09-23" @default.
- W2227244311 title "Classical solutions of Maxwell’s equations in (2+1)-dimensional electrodynamics with the Chern-Simons term" @default.
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- W2227244311 doi "https://doi.org/10.1103/physreva.40.6791" @default.
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