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Does Dirac equation for a generalized Coulomb-like potential in D+1 dimensional flat spacetime admit any solution for Dgeq 4?

arXiv
Authors: F. Caruso, J. Martins, L. D. Perlingeiro, V. Oguri

Year

2014

Paper ID

46392

Status

Preprint

Abstract Read

~2 min

Abstract Words

55

Citations

N/A

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 Dgeq 4.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • The relativistic hydrogen atom in an Euclidean space-time of arbitrary number of space dimensions (D) plus one time dimension is revisited.

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