Absence of singular continuous spectra and embedded eigenvalues for one-dimensional quantum walks with general long-range coins

DOI10.1142/S0129055X22500167MaRDI QIDQ5089717

Akito Suzuki, Masaya Maeda, Kazuyuki Wada

Publication date: 15 July 2022

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.12832

zbMATH Keywords

spectral theoryquantum walksJost solutionlong-range perturbation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Spectrum, resolvent (47A10) Scattering theory of linear operators (47A40) Dispersion theory, dispersion relations arising in quantum theory (81U30) Linear difference equations (39A06)

Related Items (1)

Spectral mapping theorem of an abstract non-unitary quantum walk

Cites Work

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