On the semiclassical density of states of quasi-integrable mechanical systems

DOI10.1007/BF00987167zbMath0802.70012OpenAlexW2084435702MaRDI QIDQ1331490

Stefano Isola, Stefano Marmi, Roberto Livi

Publication date: 8 December 1994

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00987167

zbMATH Keywords

Weyl's formulapower series expansionBohr-Sommerfeld quantizationsuccessive truncations of Birkhoff series

Mathematics Subject Classification ID

Hamilton's equations (70H05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Cites Work

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• The Schrödinger equation and canonical perturbation theory
• On the quantization of the three-particle Toda lattice
• Level clustering in the regular spectrum

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