The norm estimate of the difference between the Kac operator and the Schrodinger semigroup: A unified approach to the nonrelativistic and relativistic cases

被引：12

作者：

Ichinose, T ^{[1
]}

Takanobu, S ^{[1
]}

机构：

[1] Kanazawa Univ, Fac Sci, Dept Math, Kanazawa, Ishikawa 9201192, Japan

来源：

NAGOYA MATHEMATICAL JOURNAL | 1998年 / 149卷

关键词：

D O I：

10.1017/S0027763000006553

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An L-P operator norm estimate of the difference between the Kac operator and the Schrodinger semigroup is proved and used to give a variant of the Trotter product formula for Schrodinger operators in the L-P operator norm. The method of the proof is probabilistic based on the Feynman-Kac formula. The problem is discussed in the relativistic as well as nonrelativistic case.

引用

页码：53 / 81

页数：29