A Spectral Collocation Technique for the Solution of the Wigner–Poisson Problem

DOI10.1137/0729043zbMath0754.65107OpenAlexW2049552466MaRDI QIDQ4008961

Christian Ringhofer

Publication date: 27 September 1992

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0729043

zbMATH Keywords

stabilityconsistencycollocationPoisson equationupwindingspectral collocation methodquantum Liouville equationtransport phenomenanonlinear pseudodifferential equationssystem of hyperbolic equationsWigner-Poisson systemdifference-spectral methodquantum mechanical transport phenomena

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) PDEs in connection with quantum mechanics (35Q40) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Applications to the sciences (65Z05)

Related Items (3)

ON A DISCRETE MODEL FOR QUANTUM TRANSPORT IN SEMI-CONDUCTOR DEVICES ⋮ Numerical Study of Transient Wigner–Poisson Model for RTDs: Numerical Method and Its Applications ⋮ Effect of boundary treatments on quantum transport current in the Green's function and Wigner distribution methods for a nano-scale DG-MOSFET

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