Feynman-type representation of the scattering matrix on the line via a discrete-time quantum walk

DOI10.1088/1751-8121/ABFB25OpenAlexW3162950157MaRDI QIDQ5874142

Kenta Higuchi

Publication date: 7 February 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8121/abfb25

zbMATH Keywords

semiclassical limitquantum walkHadamard walkbarrier-top scattering

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (1)

Comfortable place for quantum Walker on finite path

Cites Work

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• Asymptotic velocity of a position-dependent quantum walk
• Semiclassical representation of the scattering matrix by a Feynman integral
• The Weber equation as a normal form with applications to top of the barrier scattering
• Semiclassical study of quantum scattering on the line
• Resonant-tunneling in discrete-time quantum walk
• A dynamical system induced by quantum walk
• Quantum graph walks I: mapping to quantum walks
• Semi-classical analysis for Harper's equation. III : Cantor structure of the spectrum
• Generalized eigenfunctions and scattering matrices for position-dependent quantum walks

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