The hydrino and other unlikely states
classification
⚛️ physics.class-ph
hep-thphysics.gen-phquant-ph
keywords
bounddimensionsequationhydrinostatestightlyarbitrarilycharge
read the original 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.
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