Classical periodic orbits and quantum mechanical eigenvalues and eigenfunctions

DOI10.1007/BF00699744zbMath0778.58055OpenAlexW4237065173MaRDI QIDQ687261

Juan-Miguel Gracia

Publication date: 1 November 1993

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00699744

zbMATH Keywords

chaosperiodic orbitsHamiltonian systemseigenfunctionsquantum mechanical eigenvalues

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Ergodic theorems, spectral theory, Markov operators (37A30) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Cites Work

• The Arnol'd cat: Failure of the correspondence principle
• Chaos in classical and quantum mechanics
• STOCHASTIC INSTABILITY OF NON-LINEAR OSCILLATIONS
• Simple three-dimensional periodic orbits in a galactic-type potential
• Bifurcations in systems of three degrees of freedom