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Proceedings Paper

Self-consistent electron motion in the framework of alternative quantum theory
Author(s): Andrey L. Sanin; Vera G. Ulianova
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Paper Abstract

Quantum hydrodynamic equations jointly with Maxwell's equation for the electric field are applied to describe motion of single electron including self-field one. The set of equations listed here and including the self-field of an electron is fundamental and represents the alternative quantum theory. Solutions of these equations are self-consistent and determine corresponding motion. In this paper we investigated one- dimensional stationary motion under variable distributions of background positive charge. Numerical integration of equations was carried out with Runge-Kutta method of 4th order approximation. Fast Fourier-transformation was used to analyze the spatially inhomogeneous distributions of electron density. Self-consistent solutions are compared with that of quantum hydrodynamic equations without considering the self-field of an electron (as in ordinary quantum mechanics). It is shown that difference takes place between them.

Paper Details

Date Published: 27 November 2000
PDF: 9 pages
Proc. SPIE 4316, International Conference on Lasers for Measurements and Information Transfer, (27 November 2000); doi: 10.1117/12.407669
Show Author Affiliations
Andrey L. Sanin, St. Petersburg State Technical Univ. (Russia)
Vera G. Ulianova, St. Petersburg State Technical Univ. (Russia)


Published in SPIE Proceedings Vol. 4316:
International Conference on Lasers for Measurements and Information Transfer

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