umu.sePublications
Change search
ReferencesLink to record
Permanent link

Direct link
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) PublishedText
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

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Shukla, Padma Kant
By organisation
Department of Physics
In the same journal
Physics of Plasmas
Fusion, Plasma and Space Physics

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 10 hits
ReferencesLink to record
Permanent link

Direct link