Does Dirac equation for a generalized Coulomb-like potential in D+1 dimensional flat space-time admit any solution for D >= 4?

作者：Caruso F^*; Martins J; Perlingeiro L D; Oguri V

来源：Annals of Physics, 2015, 359: 73-79.

DOI：10.1016/j.aop.2015.04.009

• Space
• Dimensionality
• Dirac equation
• Hydrogen atom
• Coulombian potential

The relativistic hydrogen atom in a 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.

• 出版日期2015-8