Miura maps for Stäckel systems

DOI10.1063/5.0169596arXiv2307.01340OpenAlexW4389572171MaRDI QIDQ6142814

Maciej Błaszak, Krzysztof Marciniak

Publication date: 4 January 2024

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

Full work available at URL: https://arxiv.org/abs/2307.01340

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Cites Work

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• On Reciprocal Equivalence of Stäckel Systems
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• Theory of separability of multi-Hamiltonian chains
• Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
• Remarks on the connection between the additive separation of the Hamilton–Jacobi equation and the multiplicative separation of the Schrödinger equation. I. The completeness and Robertson conditions
• Remarks on the connection between the additive separation of the Hamilton–Jacobi equation and the multiplicative separation of the Schrödinger equation. II. First integrals and symmetry operators
• Quantum versus Classical Mechanics and Integrability Problems
• Generalized Stäckel transform and reciprocal transformations for finite-dimensional integrable systems

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