A separation property for magnetic Schrödinger operators on Riemannian manifolds |
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Authors: | Ognjen Milatovic |
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Institution: | Department of Mathematics and Statistics, University of North Florida, Jacksonville, FL 32224, USA |
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Abstract: | We consider a Schrödinger differential expression L=ΔA+q on a complete Riemannian manifold (M,g) with metric g, where ΔA is the magnetic Laplacian on M and q≥0 is a locally square integrable function on M. In the terminology of W.N. Everitt and M. Giertz, the differential expression L is said to be separated in L2(M) if for all u∈L2(M) such that Lu∈L2(M), we have qu∈L2(M). We give sufficient conditions for L to be separated in L2(M). |
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Keywords: | Magnetic Schrö dinger operator Riemannian manifold Separation |
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