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Expansion of a quantum electron gas

  • S. Mola (a1), G. Manfredi (a1) and M. R. Feix (a1)
  • DOI: http://dx.doi.org/10.1017/S0022377800026969
  • Published online: 01 March 2009
Abstract

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.

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M. J. Ablowitz & H. Segur 1981 Solitons and the Inverse Scattering Transform. SIAM.

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Journal of Plasma Physics
  • ISSN: 0022-3778
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