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arXiv · 1805.08446

On the existence and uniqueness of self-adjoint realizations of discrete (magnetic) Schr\"odinger operators

Marcel Schmidt
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Abstract

In this expository paper we answer two fundamental questions concerning discrete magnetic Schr\"odinger operator associated with weighted graphs. We discuss when formal expressions of such operators give rise to self-adjoint operators, i.e., when they have self-adjoint restrictions. If such self-adjoint restrictions exist, we explore when they are unique.

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Marcel Schmidt. 2018-05-22. On the existence and uniqueness of self-adjoint realizations of discrete (magnetic) Schr\"odinger operators. https://arxiv.org/abs/1805.08446

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