Numerical simulation of the quantum Liouville-Poisson system

DOI10.1016/0021-9991(91)90227-CzbMath0722.65094MaRDI QIDQ756392

Nam-Duk Suh, Pierre Bertrand, Marc R. Feix

Publication date: 1991

Published in: Journal of Computational Physics (Search for Journal in Brave)

zbMATH Keywords

numerical simulationssplitting schemeLandau dampingquantum effectsdouble Fourier transformationplasma phenomenaquantum Liouville-Poisson equationstream instability problems

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Electromagnetic interaction; quantum electrodynamics (81V10) PDEs in connection with quantum mechanics (35Q40) Applications to the sciences (65Z05)

Related Items (14)

Asymptotic preserving schemes for the Wigner-Poisson-BGK equations in the diffusion limit ⋮ Quantum BGK Model near a Global Fermi--Dirac Distribution ⋮ Numerical Study of Transient Wigner–Poisson Model for RTDs: Numerical Method and Its Applications ⋮ The Schrödinger-Newton equations beyond Newton ⋮ Quantum effect on parametric amplification characteristics in piezoelectric semiconductors ⋮ Dispersion of multi-stream instability in quantum magnetized hot plasmas ⋮ Self-consistent relaxation-time models in quantum mechanics ⋮ Kadomstev-Petviashvili solitons in quantum plasmas ⋮ Rayleigh-Taylor/gravitational instability in dense magnetoplasmas ⋮ BGK model of the multi-species Uehling-Uhlenbeck equation ⋮ A Universal Model: The Vlasov Equation ⋮ Numerical Simulations of the Fourier-Transformed Vlasov-Maxwell System in Higher Dimensions—Theory and Applications ⋮ An Advective-Spectral-Mixed Method for Time-Dependent Many-Body Wigner Simulations ⋮ Remarks on the repulsive Wigner-Poisson system

Cites Work

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