The hydrino and other unlikely states
Abstract
We discuss the tightly bound (hydrino) solution of the Klein Gordon equation for the Coulomb potential in 3 dimensions. We show that a similar tightly bound state occurs for the Dirac equation for the Coulomb potential 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.
- Publication:
-
Physics Letters A
- Pub Date:
- December 2006
- DOI:
- 10.1016/j.physleta.2006.07.069
- arXiv:
- arXiv:physics/0608095
- Bibcode:
- 2006PhLA..360...62D
- Keywords:
-
- 03.65Bz;
- 03.65Pm;
- Physics - Classical Physics;
- Physics - General Physics;
- High Energy Physics - Theory;
- Quantum Physics
- E-Print:
- Submitted to Physics Letters A