Discrete Schrödinger-Poisson systems preserving energy and mass

Christian Ringhofer, J. Soler

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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
Issue number7
StatePublished - Oct 2000

ASJC Scopus subject areas

  • Applied Mathematics


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