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Nonlinear stationary solutions of the Wigner and Wigner-Poisson equations
Umeå University, Faculty of Science and Technology, Department of Physics. Institut für Theoretische Physik IV, Ruhr-Universität Bochum, D-44780 Bochum, Germany; GOLP/Instituto de Plasmas e Fusão Nuclear, Instituto Superior Técnico, Universidade Técnica de Lisboa, 1049-001 Lisboa, Portugal; SUPA, Department of Physics, University of Strathclyde, Glasgow, G40NG, UK; School of Physics, University of Kwazulu-Natal, Durban 4000, South Africa.
2008 (English)In: Physics of Plasmas, ISSN 1070-664X, E-ISSN 1089-7674, Vol. 15, no 11, 112302Article in journal (Refereed) Published
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Abstract [en]

Exact nonlinear stationary solutions of the one-dimensional Wigner and Wigner-Poisson equations in the terms of the Wigner functions that depend not only on the energy but also on position are presented. In this way, the Bernstein-Greene-Kruskal modes of the classical plasma are adapted for the quantum formalism in the phase space. The solutions are constructed for the case of a quartic oscillator potential, as well as for the self-consistent Wigner-Poisson case. Conditions for well-behaved physically meaningful equilibrium Wigner functions are discussed.

Place, publisher, year, edition, pages
Melville: American Institute of Physics (AIP), 2008. Vol. 15, no 11, 112302
Keyword [en]
Clebsch-Gordan coefficients, plasma instability, Poisson equation
National Category
Fusion, Plasma and Space Physics
Identifiers
URN: urn:nbn:se:umu:diva-117475DOI: 10.1063/1.3008047ISI: 000261212400009OAI: oai:DiVA.org:umu-117475DiVA: diva2:911646
Available from: 2016-03-14 Created: 2016-03-01 Last updated: 2016-03-14Bibliographically approved

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Shukla, Padma Kant
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