Maximal superintegrability of Benenti systems

Abstract

For a class of Hamiltonian systems naturally arising in the modern theory of separation of variables, we establish their maximal superintegrability by explicitly constructing the additional integrals of motion.

5 pages, LaTeX 2e, to appear in J. Phys. A: Math. Gen

References in corpus (6)

• Completeness of superintegrability in two-dimensional constant curvature spaces
• Superintegrability with third order invariants in quantum and classical mechanics
• Superintegrability in a two-dimensional space of non-constant curvature
• Quantum superintegrability and exact solvability in N dimensions
• Maximal superintegrability on N-dimensional curved spaces
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Cited by in corpus (8)

• Classical and Quantum Superintegrability with Applications
• Superintegrability on N-dimensional curved spaces: Central potentials, centrifugal terms and monopoles
• Superintegrable 3-body systems on the line
• Generalized Stäckel Transform and Reciprocal Transformations for Finite-Dimensional Integrable Systems
• Natural coordinates for a class of Benenti systems
• N-dimensional integrability from two-photon coalgebra symmetry
• Exact solvability of superintegrable Benenti systems
• Integrable quantum Stäckel systems