Semiclassical limit for a truncated Hamiltonian

DOI10.1063/1.166162zbMath1260.82093OpenAlexW2015464862WikidataQ44850738 ScholiaQ44850738MaRDI QIDQ4915408

César Castilho, Alfredo M. Ozorio de Almeida

Publication date: 10 April 2013

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.166162

Mathematics Subject Classification ID

Statistical mechanics of superfluids (82D50) Statistical mechanics of solids (82D20) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Cites Work

• Periodic trajectories for a two-dimensional nonintegrable Hamiltonian
• The calculation of periodic trajectories
• Compact billiards in phase space
• Solution of the Schrödinger equation in terms of classical paths
• The algebraic quantisation of the Birkhoff-Gustavson normal form
• Action billiards
• Quantum surface-of-section method: Demonstration of semiclassical Berry-Robnik energy level-spacing distribution in a generic two-dimensional Hamiltonian system
• General quantum surface-of-section method
• Numerical demonstration of the Berry-Robnik level spacing distribution

This page was built for publication: Semiclassical limit for a truncated Hamiltonian