Periodic solutions to the Wigner-Poisson equation

DOI10.1016/0362-546X(94)00298-VzbMath0848.35106MaRDI QIDQ4861577

Horst Lange, Paul F. Zweifel

Publication date: 12 February 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsSchrödinger-Poisson systemscompactness argumentsGalerkin approximation methodWigner-Poisson equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Theoretical approximation in context of PDEs (35A35) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (5)

Mixed boundary-value problems for the two-dimensional Schrödinger-Poisson system ⋮ Quantum BGK Model near a Global Fermi--Dirac Distribution ⋮ On Dysthe's nonlinear Schrödinger equation for deep water waves ⋮ Boundary conditions in quantum transport theory ⋮ Stationary solutions of quasi-linear Schrödinger-Poisson systems

Cites Work

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• The three-dimensional wigner-poisson problem: Existence, uniqueness and approximation
• The two-dimensional Wigner-Poisson problem for an electron gas in the charge neutral case
• The Wigner Poisson Problem in a Crystal: Existence, Uniqueness, Semiclassical Limit in the One-dimensional Case
• The Wigner transform and the Wigner-poisson system
• Global existence, uniqueness and asymptotic behaviour of solutions of the Wigner–Poisson and Schrödinger‐Poisson systems
• Dissipation in Wigner–Poisson systems
• Dirac Formalism and Symmetry Problems in Quantum Mechanics. I. General Dirac Formalism

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