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تسجيل مستخدم جديدAbsence of singular continuous spectra and embedded eigenvalues for one dimensional quantum walks with general long range coins
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This paper is a continuation of the paper cite{W} by the third author, which studied quantum walks with special long-range perturbations of the coin operator. In this paper, we consider general long-range perturbations of the coin operator and prove the non-existence of a singular continuous spectrum and embedded eigenvalues. The proof relies on the construction of generalized eigenfunctions (Jost solutions) which was studied in the short-range case in cite{MSSSSdis}.
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