Two realizations of Schrodinger operators on Riemannian manifolds

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:354

Article

Milatovic, Ognjen

关键词: Schrodinger operator;    Self-adjoint;    Riemannian manifold;   

DOI  :  10.1016/j.jmaa.2008.12.040

来源: Elsevier

【 摘 要 】

We consider a Schrodinger differential expression P = Delta(M) + V on a complete Riemannian manifold (M, g) with metric g, where Delta M is the scalar Laplacian on M and V is a real-valued locally integrable function on M. We study two self-adjoint realizations of P in L-2(M) and show their equality. This is an extension of a result of S. Agmon. (c) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

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