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Asymptotic decay estimates for the repulsive Schrödinger–Poisson system
Author(s) -
Sánchez Óscar,
Soler Juan
Publication year - 2004
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.454
Subject(s) - schrödinger's cat , mathematics , poisson distribution , context (archaeology) , galilean , galilean invariance , norm (philosophy) , mathematical physics , dispersion (optics) , character (mathematics) , mathematical analysis , classical mechanics , quantum mechanics , physics , geometry , law , statistics , paleontology , political science , biology
In this paper the time decay rates for the solutions to the Schrödinger–Poisson system in the repulsive case are improved in the context of semiconductor theory. Upper and lower estimates are obtained by using a norm involving the potential energy and the dispersion equation. In the attractive case some examples, based on the Galilean invariance, are proposed showing that the solutions does not have a dispersive character. Copyright © 2004 John Wiley & Sons, Ltd.