One-dimensional solutions of quantum hydrodynamic equations for an electron packet in free space and electric field

Andrey L. Sanin; Vera G. Ulianova

doi:10.1117/12.501359

19 June 2003 One-dimensional solutions of quantum hydrodynamic equations for an electron packet in free space and electric field

Andrey L. Sanin, Vera G. Ulianova

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Proceedings Volume 5066, Lasers for Measurements and Information Transfer 2002; (2003) https://doi.org/10.1117/12.501359
Event: Lasers for Measurements and Information Transfer 2002, 2002, St. Petersburg, Russian Federation

Abstract

Quantum hydrodynamic equations are used to describe motion of single electron. The initial and boundary conditions are formulated from the analytic formula for the electron packet in a free space. The numerical integration of equations for the free packet is performed. Then, we investigated the wave packet propagation through the back-ground positive charge, when the electric field is self-consistent. Moreover, we studied the influence of the external harmonic electric fields on the properties of the motion. The purpose of the present work consists in study of the spatial-temporal processes including packets when the quantum wave effects are essential.

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Andrey L. Sanin and Vera G. Ulianova "One-dimensional solutions of quantum hydrodynamic equations for an electron packet in free space and electric field", Proc. SPIE 5066, Lasers for Measurements and Information Transfer 2002, (19 June 2003); https://doi.org/10.1117/12.501359

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