Essential self-adjointness for combinatorial Schr\"odinger operators III- Magnetic fields

Essential self-adjointness for combinatorial Schr\"odinger operators III- Magnetic fields

Annales de la Facult\'e des Sciences de Toulouse 20, 3 (2011) 597-609 We define the magnetic Schr\"odinger on an infinite graph by the data of a magnetic field, some weights on vertices and some weights on edges . We discuss essential self-adjointness of this operator for graphs of bounded...

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Bibliographic Details
Main Authors: De Verdière, Yves Colin, Torki-Hamza, Nabila, Truc, Francoise
Format: Journal Article
Language:English
Published: 30-11-2010
Subjects:
Mathematics - Mathematical Physics
Mathematics - Spectral Theory
Physics - Mathematical Physics
Online Access:Get full text
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Summary:Annales de la Facult\'e des Sciences de Toulouse 20, 3 (2011) 597-609 We define the magnetic Schr\"odinger on an infinite graph by the data of a magnetic field, some weights on vertices and some weights on edges . We discuss essential self-adjointness of this operator for graphs of bounded degree. The main result is a discrete version of a result of two authors of the present paper.
DOI:10.48550/arxiv.1011.6492