Discrete Schrödinger-Poisson systems preserving energy and mass

DOI10.1016/S0893-9659(00)00072-0zbMath0955.65067OpenAlexW2019159710MaRDI QIDQ1586301

R. Smith

Publication date: 13 November 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(00)00072-0

zbMATH Keywords

Crank-Nicolson methodSchrödinger-Poisson equationmass and energy conservation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (4)

SAV Galerkin-Legendre spectral method for the nonlinear Schrödinger-possion equations ⋮ Chern-Simons-Schrödinger theory on a one-dimensional lattice ⋮ A novel, structure-preserving, second-order-in-time relaxation scheme for Schrödinger-Poisson systems ⋮ Fast calculation of energy and mass preserving solutions of Schrödinger-Poisson systems on unbounded domains

Cites Work

• Global existence, uniqueness and asymptotic behaviour of solutions of the Wigner–Poisson and Schrödinger‐Poisson systems
• L² Solutions to the Schrödinger–Poisson System: Existence, Uniqueness, Time Behaviour, and Smoothing Effects
• A variational approach to the Schrödinger-Poisson system: asymptotic behaviour, breathers, and stability
• Unnamed Item

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