A Fredholm determinant for semiclassical quantization

DOI10.1063/1.165992zbMath1055.81549arXivchao-dyn/9307014OpenAlexW3098428425WikidataQ52389399 ScholiaQ52389399MaRDI QIDQ4526287

Hans Henrik Rugh, Per E. Rosenqvist, Gábor Vattay, Predrag Cvitanović

Publication date: 16 January 2001

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9307014

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Quantum chaos (81Q50) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items

Perspectives on relativistic quantum chaos, From open quantum systems to open quantum maps, Dynamical averaging in terms of periodic orbits, Periodic orbit asymptotics for intermittent Hamiltonian systems, Quantization of hyperbolic \(N\)-sphere scattering systems in three dimensions., Exact and Quasiclassical Fredholm Solutions of Quantum Billiards, Fredholm Theory for Quasiclassical Scattering, The semiclassical zeta function for geodesic flows on negatively curved manifolds

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