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Expansion of a quantum electron gas

Published online by Cambridge University Press:  13 March 2009

S. Mola ,
G. Manfredi  and
M. R. Feix
S. Mola
Affiliation:
PMMS/CNRS, 3A Avenue de la Recherche Scientifique, 45071 Orleans Cedex 2, France
G. Manfredi
Affiliation:
PMMS/CNRS, 3A Avenue de la Recherche Scientifique, 45071 Orleans Cedex 2, France
M. R. Feix
Affiliation:
PMMS/CNRS, 3A Avenue de la Recherche Scientifique, 45071 Orleans Cedex 2, France
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Extract

The expansion of a quantum electron gas (non-relativistic, no spin) is investigated via the one-particle Schrödinger–Poisson model. Classically, the nonlinear term enhances the formation of a very regular asymptotic state. By means of rescaling methods, we conjecture that the quantum asymptotic solution is identical to the classical one. Subsequent numerical simulations confirm the above conjecture and define precisely the way in which the classical limit is approached.

Type
Research Article
Information
Journal of Plasma Physics , Volume 50 , Issue 1 , August 1993 , pp. 145 - 162
Copyright
Copyright © Cambridge University Press 1993

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References

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