Isochronous extension of the Hamiltonian describing free motion in the Poincaré half-plane: Classical and quantum treatments

DOI10.1063/1.2779766zbMath1152.81358OpenAlexW2089307970MaRDI QIDQ3544438

F. Leyvraz, Francesco Calogero

Publication date: 8 December 2008

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

Full work available at URL: https://doi.org/10.1063/1.2779766

Mathematics Subject Classification ID

Quantum chaos (81Q50) Nonlinear dynamics in mechanics (70K99) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Dynamical systems in classical and celestial mechanics (37N05) Smooth dynamical systems: general theory (37Cxx)

Related Items (1)

Examples of Hamiltonians isochronous in configuration space only and their quantization

Cites Work

• Canonical transformations to action and angle variables and their representations in quantum mechanics
• On a class of Hamiltonians with (classical) isochronous motions and (quantal) equi-spaced spectra
• Certain Bootstraps and Related Equations

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