Natural coordinates for a class of Benenti systems

Abstract

We present explicit formulas for the coordinates in which the Hamiltonians of the Benenti systems with flat metrics take natural form and the metrics in question are represented by constant diagonal matrices.

LaTeX 2e, 8 p., no figures; extended version with enlarged bibliography

References in corpus (4)

• Separation of Variables. New Trends.
• Maximal superintegrability of Benenti systems
• From Stäckel systems to integrable hierarchies of PDE's: Benenti class of separation relations
• Reciprocal transformations for Stackel-related Liouville integrable systems

Cited by in corpus (14)

• On reciprocal equivalence of Stäckel systems
• Orthogonal separation of variables for spaces of constant curvature
• Exact solvability of superintegrable Benenti systems
• Lax Representations for Separable Systems from Benenti Class
• Systematic construction of non-autonomous Hamiltonian equations of Painlevé-type. I. Frobenius integrability
• Integrable quantum Stäckel systems
• Deforming Lie algebras to Frobenius integrable non-autonomous Hamiltonian systems
• Classical and Quantum Superintegrability of Stäckel Systems
• Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians
• Non-Hamiltonian systems separable by Hamilton-Jacobi method
• Flat minimal quantizations of Stackel systems and quantum separability
• Flat coordinates for flat Stäckel systems
• Algebraic curves as a source of separable multi-Hamiltonian systems
• Stäckel transform of Lax equations