Fast Calculation of Energy and Mass preserving solutions of Schrödinger-Poisson systems on unbounded domains

dc.contributor.authorEhrhardt, Matthias
dc.contributor.authorZisowsky, Andrea
dc.date.accessioned2022-05-11T12:11:52Z
dc.date.available2022-05-11T12:11:52Z
dc.date.issued2004-10-08
dc.description.abstractThis paper deals with the numerical solution of the time-dependent Schrödinger-Poisson system in the spherically symmetric case. Since the problem is posed on an unbounded domain one has to introduce artificial boundary conditions to confine the computational domain. The main topic of this work is the construction of a so-called discrete transparent boundary condition (TBC) for a Crank-Nicolson-type predictor-corrector scheme for solving the Schrödinger-Poisson system. This scheme has the property of mass and energy conservation exactly on the discrete level. We propose different strategies for the discrete TBC and present an efficient implementation. Finally, a numerical example illustrate the findings and shows the comparison results between the different approaches.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/16917
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-15695
dc.language.isoen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subject.ddc510 Mathematiken
dc.subject.otherSchrödinger-Poisson systemen
dc.subject.otherSchrödinger equationen
dc.subject.otherfinite differencesen
dc.subject.otherdiscrete transparent boundary conditionsen
dc.subject.otherdifference equationen
dc.subject.otherNewton potentialen
dc.titleFast Calculation of Energy and Mass preserving solutions of Schrödinger-Poisson systems on unbounded domainsen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfree
tub.affiliationFak. 2 Mathematik und Naturwissenschaften>Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2004, 32en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
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