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arxiv: 1101.5452 · v1 · pith:2672XLFGnew · submitted 2011-01-28 · ⚛️ physics.atom-ph · hep-ph

Relativistic Coulomb Green's function in d-dimensions

classification ⚛️ physics.atom-ph hep-ph
keywords greencoulombfunctionsalphaarbitraryasymptoticsconsideredderived
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Using the operator method, the Green's functions of the Dirac and Klein-Gordon equations in the Coulomb potential $-Z\alpha/r$ are derived for the arbitrary space dimensionality $d$. Nonrelativistic and quasiclassical asymptotics of these Green's functions are considered in detail.

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