The hydrino and other unlikely states
arXiv:physics/0608095 · doi:10.1016/j.physleta.2006.07.069
Abstract
We discuss the tightly bound (hydrino) solution of the Klein-Gordon equation for the Coulomb potential in 3 dimensions. We show that a similarly tightly bound state occurs for the Dirac equation in 2 dimensions. These states are unphysical since they disappear if the nuclear charge distribution is taken to have an arbitrarily small but non-zero radius.
Submitted to Physics Letters A