Application of the diffraction trace formula to the three-disk scattering system.

DOI10.1007/BF02183648zbMath1081.81528arXivchao-dyn/9602010OpenAlexW2085690937WikidataQ60861890 ScholiaQ60861890MaRDI QIDQ1593394

Per E. Rosenqvist, Andreas Wirzba, Gábor Vattay

Publication date: 16 January 2001

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

Full work available at URL: https://arxiv.org/abs/chao-dyn/9602010

zbMATH Keywords

periodic orbitsscatteringdiffractionquantum chaos

Mathematics Subject Classification ID

Quantum chaos (81Q50) Computational methods for problems pertaining to quantum theory (81-08) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (4)

The role of singularities in chaotic spectroscopy ⋮ Chaotic tunneling: A remarkable manifestation of complex classical dynamics in non-integrable quantum phenomena ⋮ Quantization of hyperbolic \(N\)-sphere scattering systems in three dimensions. ⋮ Superiority of semiclassical over quantum mechanical calculations for a three-dimensional system

Cites Work

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• Chaos in classical and quantum mechanics
• Recycling of strange sets: I. Cycle expansions
• Unstable periodic orbits and semiclassical quantisation
• Symmetry decomposition of chaotic dynamics
• Validity of the semiclassical periodic orbit approximation in the two‐ and three‐disk problems

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