ON THE APPROXIMATION BY REGULAR POTENTIALS OF SCHRODINGER OPERATORS WITH POINT INTERACTIONS

被引：0

作者：

Galtbayar, Artbazar ^{[1
,2
]}

Yajima, Kenji ^{[3
]}

机构：

[1] Natl Univ Mongolia, Ctr Math Applicat, Ulaanbaatar, Mongolia

[2] Natl Univ Mongolia, Dept Appl Math, Ulaanbaatar, Mongolia

[3] Gakushuin Univ, Dept Math, Tokyo 1718588, Japan

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2020年 / 57卷 / 02期

关键词：

Point interactions; selfadjoint extensions; scattering theory; wave operators; WAVE-OPERATORS; BOUNDEDNESS;

D O I：

10.4134/JKMS.j190127

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that wave operators for Schrodinger operators with multi-center local point interactions are scaling limits of the ones for Schrodinger operators with regular potentials. We simultaneously present a proof of the corresponding well known result for the resolvent which substantially simplifies the one by Albeverio et al.

引用

页码：429 / 450

页数：22

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