Does Dirac equation for a generalized Coulomb-like potential in D+1 dimensional flat spacetime admit any solution for D≥ 4?
Abstract
The relativistic hydrogen atom in an Euclidean space-time of arbitrary number of space dimensions (D) plus one time dimension is revisited. In particular, numerical solutions of the radial Dirac equation for a generalized Coulombian potential proportional to 1/r(D-2) are investigated. It is argued that one could not find any physical solution for D≥ 4.
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