Discrete Schrödinger-Poisson systems preserving energy and mass

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

A discrete predictor-corrector Schrödinger-Poisson system is proposed which has the property of mass and energy conservation exactly on the discrete level. The discretization is based on the Cranck-Nicholson scheme, which preserves these invariants of the Schrödinger-Poisson system, but involves the solution of nonlinear equations at each time step. A modified linearized scheme is proposed where conservation is achieved by introducing a phase modulation in the corrector step.

Original languageEnglish (US)
Pages (from-to)27-32
Number of pages6
JournalApplied Mathematics Letters
Volume13
Issue number7
StatePublished - Oct 2000

Fingerprint

Phase modulation
Nonlinear equations
Conservation
Energy conservation
Siméon Denis Poisson
Phase Modulation
Predictor-corrector
Mass Conservation
Corrector
Energy Conservation
Energy
Nonlinear Equations
Discretization
Invariant

ASJC Scopus subject areas

  • Computational Mechanics
  • Control and Systems Engineering
  • Applied Mathematics
  • Numerical Analysis

Cite this

Discrete Schrödinger-Poisson systems preserving energy and mass. / Ringhofer, Christian; Soler, J.

In: Applied Mathematics Letters, Vol. 13, No. 7, 10.2000, p. 27-32.

Research output: Contribution to journalArticle

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