Generalized eigenfunctions and scattering matrices for position-dependent quantum walks
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Publication:5208833
DOI10.1142/S0129055X19500193zbMath1476.81141arXiv1809.02988WikidataQ128564252 ScholiaQ128564252MaRDI QIDQ5208833
Publication date: 22 January 2020
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.02988
Eigenvalue problems for linear operators (47A75) (S)-matrix theory, etc. in quantum theory (81U20) Scattering theory of linear operators (47A40)
Related Items (12)
Asymptotic properties of generalized eigenfunctions for multi-dimensional quantum walks ⋮ A constructive approach to topological invariants for one-dimensional strictly local operators ⋮ An eigenfunction expansion formula for one-dimensional two-state quantum walks ⋮ A walk on max-plus algebra ⋮ Absence of singular continuous spectra and embedded eigenvalues for one-dimensional quantum walks with general long-range coins ⋮ An index theorem for one-dimensional gapless non-unitary quantum walks ⋮ Continuous limits of linear and nonlinear quantum walks ⋮ Generalized eigenfunctions for quantum walks via path counting approach ⋮ Stationary scattering theory for unitary operators with an application to quantum walks ⋮ Comfortable place for quantum Walker on finite path ⋮ Feynman-type representation of the scattering matrix on the line via a discrete-time quantum walk ⋮ Stationary measure induced by the eigenvalue problem of the one-dimensional Hadamard walk
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