Time-dependent realization of the infinite-dimensional hydrogen algebra

DOI10.1016/S0375-9601(01)00166-9zbMath0984.81057OpenAlexW2169608734MaRDI QIDQ5935129

Pavel Winternitz, Jamil Daboul

Publication date: 20 June 2001

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(01)00166-9

zbMATH Keywords

\(so(N+1)\) Kac-Moody algebrasKatzine-Levine modelPoisson bracket Lie products

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Cites Work

• Mechanics. From Newton's laws to the deterministic chaos.
• New Hamiltonians with closed orbits
• Quantum representation of a time-dependent quadratic Hamiltonian in a time-dependent phase space frame.
• Time-dependent vector constants of motion, symmetries, and orbit equations for the dynamical system r̈=îr{[Ü(t)/U(t)r −[μ/U(t)]r−2}]
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
• The Higgs algebra and the Kepler problem inR³
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