Essential self-adjointness of magnetic Schr\"odinger operators on locally finite graphs

TL;DR

This paper establishes conditions under which magnetic Schrödinger operators on locally finite graphs are essentially self-adjoint, extending recent theoretical results in the field.

Contribution

It generalizes existing theorems on self-adjointness of magnetic Schrödinger operators to broader classes of locally finite graphs.

Findings

Provides sufficient conditions for essential self-adjointness.

Generalizes recent results of Torki-Hamza.

Enhances understanding of magnetic operators on graphs.

Abstract

We give sufficient conditions for essential self-adjointness of magnetic Schr\"odinger operators on locally finite graphs. Two of the main theorems of the present paper generalize recent results of Torki-Hamza.