An overview of Schrödinger-Poisson problems

DOI10.1016/0034-4877(96)83629-9zbMath0882.65121OpenAlexW2019770118MaRDI QIDQ1372484

B. Toomire, Paul F. Zweifel, Horst Lange

Publication date: 19 February 1998

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(96)83629-9

zbMATH Keywords

Galerkin methoddissipative systemsWigner-Poisson problemquantum transport equationSchrödinger-Poisson problems

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Applications to the sciences (65Z05)

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A splitting Chebyshev collocation method for Schrödinger-Poisson system ⋮ The ground state energy of the Schrödinger-Newton equation ⋮ Stationary solutions of quasi-linear Schrödinger-Poisson systems

Cites Work

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