Bertrand Systems on Spaces of Constant Sectional Curvature. The Action-Angle Analysis. Classical, Quasi-Classical and Quantum Problems

DOI10.7546/giq-16-2015-110-138zbMath1352.53009OpenAlexW2419013341MaRDI QIDQ2825593

Barbara Gołubowska, Jan Jerzy Sławianowski

Publication date: 13 October 2016

Full work available at URL: https://doi.org/10.7546/giq-16-2015-110-138

sphere elliptic space action-angle description Bertrand systems completely degenerate problems Lobatchevski space quasi-classical analysis

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Dynamics of a system of particles, including celestial mechanics (70F99) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Global submanifolds (53C40) Dynamical systems in classical and celestial mechanics (37N05) Local Riemannian geometry (53B20)

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