Self-consistent electron motion in the framework of alternative quantum theory

Andrey L. Sanin; Vera G. Ulianova

doi:10.1117/12.407669

27 November 2000 Self-consistent electron motion in the framework of alternative quantum theory

Andrey L. Sanin, Vera G. Ulianova

Proceedings Volume 4316, International Conference on Lasers for Measurements and Information Transfer; (2000) https://doi.org/10.1117/12.407669
Event: International Conference on Lasers for Measurements and Information Transfer, 2000, St. Petersburg, Russian Federation

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.

Citation Download Citation

Andrey L. Sanin and Vera G. Ulianova "Self-consistent electron motion in the framework of alternative quantum theory", Proc. SPIE 4316, International Conference on Lasers for Measurements and Information Transfer, (27 November 2000); https://doi.org/10.1117/12.407669

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