Abstract
An equation of diffusional quantum theory which takes into account the finite velocity of propagation is derived from Kelvin's telegraph equation and Fürth's relation. The equation is then used to derive the ground state of quantum systems and to derive the Sommerfeld-Dirac expression for the ionization potential of hydrogen-like ions.
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Kostin, M.D. Velocity of propagation in diffusional quantum theory. J Stat Phys 45, 765–767 (1986). https://doi.org/10.1007/BF01021095
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DOI: https://doi.org/10.1007/BF01021095