Julia set describes quantum tunnelling in the presence of chaos

DOI10.1088/0305-4470/35/17/101zbMath1042.81028arXivnlin/0205048OpenAlexW1969185743WikidataQ122585776 ScholiaQ122585776MaRDI QIDQ4465659

Yutaka Ishii, Akira Shudo, Kensuke S. Ikeda

Publication date: 9 June 2004

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

Full work available at URL: https://arxiv.org/abs/nlin/0205048

Mathematics Subject Classification ID

Quantum chaos (81Q50) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

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Complexified stable and unstable manifolds and chaotic tunneling ⋮ Synchronization between the spatial Julia sets of complex Lorenz system and complex Henon map ⋮ A PRELIMINARY STUDY ON THE FRACTAL PHENOMENON: “DISCONNECTED+ DISCONNECTED=CONNECTED” ⋮ On the noise-perturbed spatial Julia set generated by Lorenz system

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