SHARP CONDITION ON THE DECAY OF THE POTENTIAL FOR THE ABSENCE OF A ZERO-ENERGY GROUND-STATE OF THE SCHRODINGER-EQUATION

被引：9

作者：

BENGURIA, RD ^{[1
]}

YARUR, C ^{[1
]}

机构：

[1] UNIV SANTIAGO CHILE,DEPT MATEMAT,SANTIAGO,CHILE

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 09期

关键词：

D O I：

10.1088/0305-4470/23/9/015

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The authors prove a sharp criterion on the decay of the potential of a Schrodinger operator on R3 that ensures the absence of a zero-energy ground state. This condition complements results due to Simon and Lieb (1981). They also give an improved version of their results which, however, is still not optimal.

引用

页码：1513 / 1518

页数：6

共 11 条

[1] LOWER BOUNDS FOR SOLUTIONS OF SCHRODINGER EQUATIONS [J].