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 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

References in corpus (2)

• Klein-Gordon particles in mixed vector-scalar inversely linear potentials
• On the hydrino state of the relativistic hydrogen atom

Cited by in corpus (7)

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• Comparison theorems for the Klein-Gordon equation in d dimensions
• Orthogonality criterion for banishing hydrino states from standard quantum mechanics
• Dirac reduced radial equations and the problem of additional solutions
• Some Problems of Self-Adjoint Extension in the Schrodinger equation