Eigenvalues, absolute continuity and localizations for periodic unitary transition operators

DOI10.1142/S0219025719500115zbMath1423.35265arXiv1411.4215OpenAlexW2963831322WikidataQ127714310 ScholiaQ127714310MaRDI QIDQ5234907

Tatsuya Tate

Publication date: 7 October 2019

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.4215

zbMATH Keywords

absolutely continuous spectrumlocalizationsquantum walksperiodic unitary transition operators

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Perturbation theory of linear operators (47A55)

Related Items (3)

Stationary amplitudes of quantum walks on the higher-dimensional integer lattice ⋮ Eigenvalues of quantum walks of Grover and Fourier types ⋮ Localization of two dimensional quantum walks defined by generalized Grover coins

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