Long-Time Dynamics of the Schrödinger–Poisson–Slater System
Long-Time Dynamics of the Schrödinger–Poisson–Slater System
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DOI：
10.1023/b:joss.0000003109.97208.53
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发表时间：
2004
影响因子：
1.6
通讯作者：
O. Sánchez;J. Soler
中科院分区：
文献类型：
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作者：
O. Sánchez;J. Soler
本文在半导体模型的框架下分析了Schrödinger-Poisson-斯莱特（SPS）系统解的渐近性态。根据势能和与模型相关的物理常数，排斥SPS系统发展固定或周期性的解决方案。这些解保持Lp（λ 3）范数或表现出色散性质。与薛定谔-泊松（SP）系统相比，只出现最后一类解。
In this paper we analyze the asymptotic behaviour of solutions to the Schrödinger–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 Lp(ℝ3) norm or exhibit dispersion properties. In comparison with the Schrödinger–Poisson (SP) system, only the last kind of solutions appear.