两类Schrdinger算子的关系  

Relationship Between Two Kinds of Schrdinger Operators

作　　者：贾小尧[1] 赵丽英[1] 任凤章[1] 

机构地区：[1]河南科技大学数学与统计学院

出　　处：《河南科技大学学报（自然科学版）》2011年第1期72-74,120-121,共3页Journal of Henan University of Science And Technology:Natural Science

基　　金：国家自然科学基金项目(50771042)

摘　　要：带有临界势能的2体Schrdinger算子和带有Coulomb势的N体Schrdinger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Schrdinger算子的一种新方法。The Schrdinger operators with critical potentials and the N-body Schrdinger operators with Coulomb potentials are very important operators.The research on N-body Schrdinger 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 Schrdinger operators.

关 键 词：N体问题 Schrdinger算子 临界势 

分 类 号：O175.2[理学—数学]