Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post-Winternitz System

Abstract

The coupling-constant metamorphosis is applied to modified extended Hamiltonians and sufficient conditions are found in order that the transformed high-degree first integral of the transformed Hamiltonian is determined by the same algorithm which computes the corresponding first integral of the original extended Hamiltonian. As examples, we consider the Post-Winternitz system and the 2D caged anisotropic oscillator.

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Cited by in corpus (4)

• On the Extended-Hamiltonian Structure of Certain Superintegrable Systems on Constant-Curvature Riemannian and Pseudo-Riemannian Surfaces
• Extended Hamiltonians and shift, ladder functions and operators
• Separation of Variables and Superintegrability on Riemannian Coverings
• Extensions of non-natural Hamiltonians