Long-time dynamics of the Schrodinger-Poisson-Slater system

被引：109
|
作者：
Sánchez, O [1 ]
Soler, J [1 ]
机构：
[1] Univ Granada, Fac Ciencias, Dept Matemat Aplicada, E-18071 Granada, Spain
来源：
JOURNAL OF STATISTICAL PHYSICS | 2004年 / 114卷 / 1-2期
关键词：
open quantum system; Schrodinger-Poisson system; dispersion; X-alpha-approach; asymptotic behaviour; stationary solutions;
D O I：
10.1023/B:JOSS.0000003109.97208.53
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper we analyze the asymptotic behaviour of solutions to the Schrodinger Poisson-Slater (SPS) system in the frame of semiconductor modeling. Depending on the potential energy and on the physical constants associated with the model, the repulsive SPS system develops stationary or periodic solutions. These solutions preserve the L-p(R-3) norm or exhibit dispersion properties. In comparison with the Schrodinger-Poisson (SP) system, only the last kind of solutions appear.
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页码：179 / 204
页数：26
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