Velocity of propagation in diffusional quantum theory

An equation of diffusional quantum theory which takes into account the finite velocity of propagation is derived from Kelvin's telegraph equation and Fuerth's relation. The equation is then used to derive the ground state of quantum systems and to derive the Sommerfeld-Dirac expression for...

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Veröffentlicht in:	J. Stat. Phys.; (United States) 1986-11, Vol.45 (3-4), p.765-767
1. Verfasser:	KOSTIN, M. D
Format:	Artikel
Sprache:	eng
Schlagworte:	657002 > Theoretical & Mathematical Physics-- Classical & Quantum Mechanics ATOMIC AND MOLECULAR PHYSICS CHARGED PARTICLES CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS DIFFERENTIAL EQUATIONS DIFFUSION DIRAC EQUATION ENERGY LEVELS EQUATIONS Exact sciences and technology GROUND STATES HYDROGEN IONS IONIZATION POTENTIAL IONS MECHANICS PARTIAL DIFFERENTIAL EQUATIONS Physics Quantum ensemble theory QUANTUM MECHANICS Quantum statistical mechanics SCHROEDINGER EQUATION Statistical physics, thermodynamics, and nonlinear dynamical systems VELOCITY WAVE EQUATIONS 640302 > Atomic, Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory WAVE PROPAGATION
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Beschreibung
Zusammenfassung:	An equation of diffusional quantum theory which takes into account the finite velocity of propagation is derived from Kelvin's telegraph equation and Fuerth'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.
ISSN:	0022-4715 1572-9613
DOI:	10.1007/BF01021095