Three routes to the exact asymptotics for the one-dimensional quantum walk

DOI10.1088/0305-4470/36/33/305zbMath1049.82025arXivquant-ph/0303105OpenAlexW1986225399MaRDI QIDQ4452518

Hilary A. Carteret, Bruce Richmond, Mourad E. H. Ismail

Publication date: 1 March 2004

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0303105

zbMATH Keywords

path integralsasymptotic behaviourJacobi polynomialsAiry functionquantum walkSchrödinger approaches

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Quantum equilibrium statistical mechanics (general) (82B10) Applications of hypergeometric functions (33C90)

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