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arXiv · 1011.6492

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

Yves Colin De Verdière·Nabila Torki-Hamza·Francoise Truc
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Abstract

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.

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Yves Colin De Verdière, Nabila Torki-Hamza, Francoise Truc. 2010-11-30. Essential self-adjointness for combinatorial Schr\"odinger operators III- Magnetic fields. https://arxiv.org/abs/1011.6492

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