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Spectral and scattering theory for topological crystals perturbed by infinitely many new edges

Richard, Serge Tsuzu, N. 名古屋大学

2022

概要

In this paper, we investigate the spectral and scattering theory for operators acting on topological crystals and on their perturbations. Special attention is paid to perturbations obtained by the addition of an infinite number of edges, and/or by the removal of a finite number of them, but perturbations of the underlying measures and perturbations by the addition of a multiplication operator are also considered. The description of the nature of the spectrum of the resulting operators and the existence and completeness of the wave operators are standard outcomes for these investigations.

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参考文献

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