The hydrino and other unlikely states

Physics – Classical Physics

Scientific paper

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Submitted to Physics Letters A

Scientific paper

10.1016/j.physleta.2006.07.069

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.

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