Nonlinear stationary solutions of the Wigner and Wigner-Poisson equations
2008 (English)In: Physics of Plasmas, ISSN 1070-664X, E-ISSN 1089-7674, Vol. 15, no 11, 112302Article in journal (Refereed) PublishedText
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
Clebsch-Gordan coefficients, plasma instability, Poisson equation
Fusion, Plasma and Space Physics
IdentifiersURN: urn:nbn:se:umu:diva-117475DOI: 10.1063/1.3008047ISI: 000261212400009OAI: oai:DiVA.org:umu-117475DiVA: diva2:911646