Superiority of semiclassical over quantum mechanical calculations for a three-dimensional system

DOI10.1016/S0375-9601(02)01440-8zbMath1001.81023arXivnlin/0209032OpenAlexW3099313486MaRDI QIDQ1847514

Jörg Main, Howard S. Taylor, Paul A. Dando, Erdinç Atılgan, Günter Wunner

Publication date: 26 November 2002

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0209032

zbMATH Keywords

resonanceshyperbolic four-sphere scattering system

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) (2)-body potential quantum scattering theory (81U05)

Cites Work

• Unnamed Item
• Chaos in classical and quantum mechanics
• Quantization of hyperbolic \(N\)-sphere scattering systems in three dimensions.
• Periodic orbit quantization of chaotic systems with strong pruning
• Application of the diffraction trace formula to the three-disk scattering system.
• Symbolic dynamics. I. Finite dispersive billiards
• Unstable periodic orbits and semiclassical quantisation
• The semiclassical resonance spectrum of hydrogen in a constant magnetic field
• Billiard systems in three dimensions: the boundary integral equation and the trace formula
• Quantum eigenvalues from classical periodic orbits
• Periodic Orbit Quantization beyond the Semiclassical Theory
• Decimation and harmonic inversion of periodic orbit signals
• Calculation of spectral determinants
• Topology in chaotic scattering
• Three-dimensional optical billiard chaotic scattering

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