The Initial Boundary Value Problem of the Generalized Wigner System

被引：0

作者：

Li, Bin ^{[1
]}

Shen, Jie-qiong ^{[1
]}

机构：

[1] Sichuan Univ, Jincheng Coll, Dept Math, Chengdu 611731, Peoples R China

来源：

ENGINEERING LETTERS | 2015年 / 23卷 / 02期

关键词：

mild solution; semigroup theory; generalized Wigner system; initial boundary value problem; Hartree potential field;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper is concerned over the initial boundary value problem of the generalized Wigner system, which models quantum mechanical (charged) particles transport under the influence of a generalized Hartree potential field. Existence and uniqueness of the mild solution for one and three-dimensional problem are established on weighted-L-2 space by semigroup theory. The main difficulties in establishing mild solutions are to derive a priori estimates on the generalized Hartree potential field.

引用

页码：110 / 114

页数：5

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