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arxiv: 1211.0407 · v2 · pith:B5GITG4Bnew · submitted 2012-11-02 · 🧮 math-ph · math.FA· math.MP· math.SP

Self-adjoint extensions of discrete magnetic Schr\"odinger operators

classification 🧮 math-ph math.FAmath.MPmath.SP
keywords magneticodingerschrself-adjointboundedconceptconditionscontext
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Using the concept of intrinsic metric on a locally finite weighted graph, we give sufficient conditions for the magnetic Schr\"odinger operator to be essentially self-adjoint. The present paper is an extension of some recent results proven in the context of graphs of bounded degree.

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