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Proceedings Paper

Nonspreading packet-like solutions to quantum hydrodynamic equations for an electron interacting with the background positive charge
Author(s): Andrey L. Sanin; Elena N. Vahhi
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Paper Abstract

The one-dimensional quantum hydrodynamic equations jointly with the divergent Maxwell equation for the electric field are applied to study the electron motion through the background positive charge. For this purpose the above listed partial differential equations are transformed into the ordinary differential equations by means of the transition to the moving coordinate system and the new generalized coordinate. The numerical integration of transformed equations is performed by standard methods. The spatial oscillations or patterns as functions of the new coordinate and presented on the Figures. Structures of these oscillations can be compared with the patterns of the stationary equations and its solutions investigated early by authors. These spatial oscillations are characterized by the packet-like properties.

Paper Details

Date Published: 19 June 2003
PDF: 9 pages
Proc. SPIE 5066, Lasers for Measurements and Information Transfer 2002, (19 June 2003); doi: 10.1117/12.501360
Show Author Affiliations
Andrey L. Sanin, St. Petersburg State Polytechnical Univ. (Russia)
Elena N. Vahhi, St. Petersburg State Polytechnical Univ. (Russia)

Published in SPIE Proceedings Vol. 5066:
Lasers for Measurements and Information Transfer 2002
Vadim E. Privalov, Editor(s)

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