Periodic orbits of nonscaling Hamiltonian systems from quantum mechanics

DOI10.1063/1.166075zbMath1055.81542OpenAlexW2071106952WikidataQ73464648 ScholiaQ73464648MaRDI QIDQ4526324

Bent Lauritzen, Daniel Provost, M. R. Haggerty, Michel Baranger, D. C. Meredith

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://doi.org/10.1063/1.166075

Mathematics Subject Classification ID

Quantum chaos (81Q50) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (1)

Complex dynamics of some Hamiltonian systems: nonintegrability of equations of motion

Cites Work

• Periodic trajectories for a two-dimensional nonintegrable Hamiltonian
• Bifurcations of periodic trajectories in non-integrable Hamiltonian systems with two degrees of freedom: Numerical and analytical results
• The calculation of periodic trajectories
• Distribution of eigenfrequencies for the wave equation in a finite domain. III: Eigenfrequency density oscillations
• Semiclassical theory of spectral rigidity
• Quantization of chaos
• Correlations in the actions of periodic orbits derived from quantum chaos

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