Self-adjoint extensions of discrete magnetic Schr\"odinger operators
Mathematical Physics
2012-12-07 v2 Functional Analysis
math.MP
Spectral Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1211.0407,
title = {Self-adjoint extensions of discrete magnetic Schr\"odinger operators},
author = {Francoise Truc and Ognjen Milatovic},
journal= {arXiv preprint arXiv:1211.0407},
year = {2012}
}