TY - JOUR
T1 - Discrete Schrödinger-Poisson systems preserving energy and mass
AU - Ringhofer, Christian
AU - Soler, J.
PY - 2000/10
Y1 - 2000/10
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0041026785&partnerID=8YFLogxK
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U2 - 10.1016/S0893-9659(00)00072-0
DO - 10.1016/S0893-9659(00)00072-0
M3 - Article
AN - SCOPUS:0041026785
SN - 0893-9659
VL - 13
SP - 27
EP - 32
JO - Applied Mathematics Letters
JF - Applied Mathematics Letters
IS - 7
ER -