Journal of Statistical Physics

, Volume 45, Issue 3–4, pp 765–767 | Cite as

Velocity of propagation in diffusional quantum theory

  • M. D. Kostin


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.

Key words

Quantum theory diffusion Kelvin's telegraph equation velocity of propagation 


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Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • M. D. Kostin
    • 1
  1. 1.School of Engineering and Applied SciencePrinceton UniversityPrinceton

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