Inference of Schrödinger's Equation from Classical-Mechanical Solution

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dc.creatorZheng-Johansson, J. X.
dc.creatorJohansson, P-I.
dc.date2004-11-15
dc.date2007-05-21
dc.date.accessioned2026-07-07T08:02:24Z
dc.date.available2026-07-07T08:02:24Z
dc.descriptionWe set up the classical wave equation for a particle formed of an oscillatory zero-rest-mass charge together with its resulting electromagnetic waves, traveling in a potential field $V$ in a susceptible vacuum. The waves are Doppler-displaced upon the source motion, and superpose into a total, traveling- and in turn a standing- beat wave, or de Broglie phase wave, described by a corresponding total classical wave equation. By back-substitution of the explicitly known total, standing beat wave function and upon appropriate reductions at classic-velocity limit, we separate out from the total a component wave equation describing the kinetic motion of particle, which is equivalent to the Schrödinger equation. The Schrödinger wave function follows to be the envelope function of the standing beat wave at classic-velocity limit.
dc.description15 pages, 2 figures. Augmented introduction, treatment and discussion. v.4 has one spelling correction over v.3
dc.identifierhttps://arxiv.org/abs/physics/0411134
dc.identifierhttp://arxiv.org/abs/physics/0411134
dc.identifierQuantum Theory and Symmetries IV, Ed VK Dobrev, Heron Press, 2006; JXZJ&PIJ, Unification of Classical, Quantum and Relativistic Mechanics and the Four Forces, Nova Sci Pub, 2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129222
dc.subjectClassical Physics
dc.subjectMesoscale and Nanoscale Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleInference of Schrödinger's Equation from Classical-Mechanical Solution
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