On Frequencies of Small Oscillations of Some Dynamical Systems Associated with Root Systems

DOI10.2991/jnmp.2003.10.1.8zbMath1038.37053arXivmath-ph/0205039OpenAlexW2125331763MaRDI QIDQ4805773

A. M. Perelomov

Publication date: 2003

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0205039

Mathematics Subject Classification ID

Hamilton's equations (70H05) Groups and algebras in quantum theory and relations with integrable systems (81R12) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (1)

Quantum vs classical mechanics: role of elementary excitations

Cites Work

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• Some applications of hypergeometric shift operators
• Two-dimensional generalized Toda lattice
• Completely integrable Hamiltonian systems connected with semisimple Lie algebras
• Some Diophantine relations involving circular functions of rational angles
• Statistical Theory of the Energy Levels of Complex Systems. I
• Calogero-Moser Models. V: Supersymmetry and Quantum Lax Pair
• A Brownian-Motion Model for the Eigenvalues of a Random Matrix
• Some Conjectures for Root Systems
• Introduction to Lie Algebras and Representation Theory

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