Harmonic inversion as a general method for periodic orbit quantization

DOI10.1088/0951-7715/11/4/014zbMath0912.11062arXivchao-dyn/9709009OpenAlexW2034045538MaRDI QIDQ4208720

Howard S. Taylor, Günter Wunner, V. A. Mandelshtam, Jörg Main

Publication date: 6 January 1999

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9709009

zbMATH Keywords

symbolic dynamicschaotic systemszeros of the Riemann zeta functionharmonic inversionGutzwiller theoryperiodic orbit quantizationthree-disk scattering problem

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Miscellaneous applications of number theory (11Z05) Quantum scattering theory (81U99) Low-dimensional dynamical systems (37E99)

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Periodic orbit quantization of chaotic systems with strong pruning ⋮ Uniform approximations for non-generic bifurcation scenarios including bifurcations of ghost orbits

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