Essential self-adjointness for semi-bounded magnetic Schrodinger operators on non-compact manifolds

被引:72
作者
Shubin, M [1 ]
机构
[1] Northeastern Univ, Dept Math, Boston, MA 02115 USA
基金
美国国家科学基金会;
关键词
D O I
10.1006/jfan.2001.3778
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove essential self-adjointness for semi-bounded below magnetic Schrodinger operators on complete Riemannian manifolds with a given positive smooth measure which is fixed independently of the metric. Some singularities of the scalar potential are allowed. This is an extension of the Povzner-Wienholtz-Simader theorem. The proof uses the scheme of Wienholtz but requires a refined invariant integration by parts, technique, as well as the use of a family of cut-off functions which are constructed by a non-trivial smoothing procedure due to Karcher. (C) 2001 Academic Press.
引用
收藏
页码:92 / 116
页数:25
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