Essential self-adjointness for combinatorial Schr\"odinger operators III- Magnetic fields
Spectral Theory
2011-10-03 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1011.6492,
title = {Essential self-adjointness for combinatorial Schr\"odinger operators III- Magnetic fields},
author = {Yves Colin De Verdière and Nabila Torki-Hamza and Francoise Truc},
journal= {arXiv preprint arXiv:1011.6492},
year = {2011}
}