Periodic Schrödinger operators on topological crystals: framework, analytically fibered operator, conjugate operator (Mathematical aspects of quantum fields and related topics)

Abstract

In this conference proceeding's paper we recall several constructions related to periodic Schrödinger operators in the discrete setting. Our aim is to focus on periodic systems without being distracted by any perturbation. This material is mainly borrowed from a joint paper with D. Parra where perturbations of such periodic systems are also considered.