Uniform approximations for non-generic bifurcation scenarios including bifurcations of ghost orbits

DOI10.1006/APHY.1999.5961zbMath0937.37015arXivchao-dyn/9908019OpenAlexW2159966300MaRDI QIDQ1961063

Günter Wunner, Jörg Main, T. Bartsch

Publication date: 30 March 2000

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

Full work available at URL: https://arxiv.org/abs/chao-dyn/9908019

zbMATH Keywords

periodic orbitsbifurcationschaotic quantum systemsnormal form theoryghost orbits

Mathematics Subject Classification ID

Quantum chaos (81Q50) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The quantization of a classically ergodic system
• Chaos in classical and quantum mechanics
• Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian
• Techniques of asymptotic analysis
• Resonant periodic orbits and the semiclassical energy spectrum
• Hamiltonian Systems
• Harmonic inversion as a general method for periodic orbit quantization
• Bifurcations of periodic orbits and uniform approximations
• Significance of ghost orbit bifurcations in semiclassical spectra
• Uniform approximation for bifurcations of periodic orbits with high repetition numbers
• Periodic orbits near bifurcations of codimension two: Classical mechanics, semiclassics and Stokes transitions
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• Generic Bifurcation of Periodic Points

This page was built for publication: Uniform approximations for non-generic bifurcation scenarios including bifurcations of ghost orbits