Complex semiclassical description of scattering problem systems with 1.5 degrees of freedom

DOI10.1006/aphy.2000.6050zbMath1035.81571OpenAlexW2034254946MaRDI QIDQ1580878

Kin'ya Takahashi, Kensuke S. Ikeda

Publication date: 2000

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aphy.2000.6050

zbMATH Keywords

multidimensional systemstunneling effectoscillating wallchaotic tunnelingoscillating barriersemiclassical wave-matrix

Mathematics Subject Classification ID

(n)-body potential quantum scattering theory (81U10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

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Riemann surfaces of complex classical trajectories and tunnelling splitting in one-dimensional systems ⋮ Numerical study of barrier tunneling in 2-D systems ⋮ Movable singularities, complex-domain heteroclinicity, and fringed tunneling in multi\-dimen\-sional systems ⋮ Effects of resonance states in barrier region on non-exponential decay of wave-packets scattered by rounded-rectangular potentials

Cites Work

• Tunnelling between tori in phase space
• Chaos in classical and quantum mechanics
• A numerical evaluation of the semiclassical coherent state path integral
• Solution of the Schrödinger equation in terms of classical paths
• Complex Periodic Orbits and Tunneling in Chaotic Potentials
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