On the hydrino state of the relativistic hydrogen atom

Abstract

The Klein-Gordon equation of the hydrogen atom has a low-lying eigenstate, called hydrino state, with square integrable wavefunction. The corresponding spinor solution of Dirac's equation is not square integrable. For this reason the hydrino state has been rejected in the early days of quantum mechanics as being unphysical. Maybe it is time to change opinion.

8 pages, slightly improved version

Cited by in corpus (7)

• The hydrino and other unlikely states
• Singular Behavior of the Laplace Operator in Polar Spherical Coordinates and Some of Its Consequences for the Radial Wave Function at the Origin of Coordinates
• Some Problems of Self-Adjoint Extension in the Schrodinger equation
• Pragmatic SAE procedure in the Schrodinger equation for the inverse-square-like potentials
• Exact solutions of the 2D Schrödinger equation with central potentials induced by the non-commutativity of space
• Conformal Mapping of Relativistic Quantum Bound Systems to Eliminate Potential Fields
• Exact Solution of the Klein-Gordon Equation for the Hydrogen Atom Including Electron Spin