Nonrelativistic Schroedinger equation in quasi-classical theory

Journal Article · Sun Feb 01 04:00:00 EST 1987 · Found. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00733204· OSTI ID:6453684

Wignall, J W.G.

The author has recently proposed a quasi-classical theory of particles and interactions in which particles are pictured as extended periodic disturbances in a universal field chi(x,t), interacting with each other via nonlinearity in the equation of motion for chi. The present paper explores the relationship of this theory to nonrelativistic quantum mechanics; as a first step, it is shown how it is possible to construct from chi a configuration-space wave function Psi(x/sub 1/, X/sub 2/, t), and that the theory requires that Psi satisfy the two-particle Schroedinger equation in the case where the two particles are well separated from each other. This suggests that the multiparticle Schroedinger equation can be obtained as a direct consequence of the quasi-classical theory without any use of the usual formalism (Hilbert space, quantization rules, etc.) of conventional quantum theory and in particular without using the classical canonical treatment of a system as a crutch theory which has subsequently to be quantized. The quasi-classical theory also suggests the existence of a preferred absolute gauge for the electromagnetic potentials.

• Research Organization: Univ. of Melbourne, Parkville, Australia
• OSTI ID: 6453684
• Journal Information: Found. Phys.; (United States), Journal Name: Found. Phys.; (United States) Vol. 17:2; ISSN FNDPA
• Country of Publication: United States
• Language: English

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DISTURBANCES
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