One-dimensional quantum hydrodynamic models of motion for single-electron and many-particle system with the self-consistent electrical field

Andrey L. Sanin; Vera G. Ulianova

doi:10.1117/12.417626

1 February 2001 One-dimensional quantum hydrodynamic models of motion for single-electron and many-particle system with the self-consistent electrical field

Andrey L. Sanin, Vera G. Ulianova

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Proceedings Volume 4348, Fourth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering; (2001) https://doi.org/10.1117/12.417626
Event: Fourth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, 2000, St. Petersburg, Russian Federation

Abstract

One-dimensional quantum hydrodynamic equations jointly with divergent equation for the electric field are applied to describe motion of electron fluid with self-consistent electric field. This means automatically that the self-field of single electron is taken into account. The quantum hydrodynamics equations are presented and discussed for the single electron and many-electron system. One-dimensional models of motion were used in numerical study of the dynamic properties such as the spatial distribution of the probability density, the electric field, and the quantum potential. The Fourier spectra of solutions were analyzed also. Self- consistent solutions for the motion electron fluid through the background positive charge were compared with that in an 'empty' space.

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Andrey L. Sanin and Vera G. Ulianova "One-dimensional quantum hydrodynamic models of motion for single-electron and many-particle system with the self-consistent electrical field", Proc. SPIE 4348, Fourth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, (1 February 2001); https://doi.org/10.1117/12.417626

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