Essential self-adjointness for combinatorial Schrödinger operators III- Magnetic fields

Details Essential self-adjointness for combinatorial Schrödinger operators III- Magnetic fields Essential self-adjointness for combinatorial Schrödinger operators III- Magnetic fields

2010-11-30

arxiv.org/abs/1011.6492v1

Annales de la Facult\'e des Sciences de Toulouse 20, 3 (2011) 597-609

Mathematics

Spectral Theory

Scientific paper

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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