ON A POSITIVITY PRESERVATION PROPERTY FOR SCHRODINGER OPERATORS ON RIEMANNIAN MANIFOLDS

被引：1

作者：

Milatovic, Ognjen ^{[1
]}

机构：

[1] Univ N Florida, Dept Math & Stat, Jacksonville, FL 32224 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 144卷 / 01期

关键词：

Non-negative Ricci curvature; positivity preservation; Riemannian manifold; Schrodinger operator; self-adjoint; singular potential; ESSENTIAL SELF-ADJOINTNESS; VECTOR-BUNDLES;

D O I：

10.1090/proc/12701

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a positivity preservation property for Schrodinger operators with singular potential on geodesically complete Riemannian manifolds with non-negative Ricci curvature. We apply this property to the question of self-adjointness of the maximal realization of the corresponding operator.

引用

页码：301 / 313

页数：13

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