Nonspreading packet-like solutions to quantum hydrodynamic equations for an electron interacting with the background positive charge

Andrey L. Sanin; Elena N. Vahhi

doi:10.1117/12.501360

19 June 2003 Nonspreading packet-like solutions to the quantum hydrodynamic equations for an electron interacting with the background positive charge

Andrey L. Sanin, Elena N. Vahhi

Author Affiliations +

Proceedings Volume 5066, Lasers for Measurements and Information Transfer 2002; (2003) https://doi.org/10.1117/12.501360
Event: Lasers for Measurements and Information Transfer 2002, 2002, St. Petersburg, Russian Federation

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.

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Andrey L. Sanin and Elena N. Vahhi "Nonspreading packet-like solutions to the quantum hydrodynamic equations for an electron interacting with the background positive charge", Proc. SPIE 5066, Lasers for Measurements and Information Transfer 2002, (19 June 2003); https://doi.org/10.1117/12.501360

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