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两类Schrdinger算子的关系
Relationship Between Two Kinds of Schrdinger Operators
【摘要】 带有临界势能的2体Schrdinger算子和带有Coulomb势的N体Schrdinger算子是两类很重要的算子。本文主要研究这两类算子的关系,证明了在某些条件下第2类算子可以转化为第1类算子。提供了研究N体Schrdinger算子的一种新方法。
【Abstract】 The Schrdinger operators with critical potentials and the N-body Schrdinger operators with Coulomb potentials are very important operators.The research on N-body Schrdinger operators was very few.The relationship between these two kinds of operators was studied in this paper.It is proved that the second kind of operators can change into the first kind of operators.This gives a new method to study N-body Schrdinger operators.
【关键词】 N体问题;
Schrdinger算子;
临界势;
【Key words】 N-body problems; Schrdinger operators; Critical potential;
【Key words】 N-body problems; Schrdinger operators; Critical potential;
【基金】 国家自然科学基金项目(50771042)
- 【文献出处】 河南科技大学学报(自然科学版) ,Journal of Henan University of Science & Technology(Natural Science) , 编辑部邮箱 ,2011年01期
- 【分类号】O177
- 【下载频次】25