Superintegrable non-autonomous Hamiltonian systems
G. Sardanashvily
TL;DR
This paper extends the Mishenko-Fomenko theorem, which provides action-angle coordinates, from autonomous to non-autonomous superintegrable Hamiltonian systems, broadening the scope of integrable system analysis.
Contribution
The paper introduces a novel extension of the Mishenko-Fomenko theorem to non-autonomous systems, enhancing the theoretical framework for superintegrable Hamiltonian systems.
Findings
Extended the Mishenko-Fomenko theorem to non-autonomous systems
Provided a new method for analyzing non-autonomous superintegrable systems
Broadened the applicability of action-angle coordinate theory
Abstract
The Mishenko-Fomenko theorem on action-angle coordinates for superintegrable autonomous Hamiltonian systems is extended to the non-autonomous ones.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Quantum chaos and dynamical systems · Cold Atom Physics and Bose-Einstein Condensates