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arXiv · 1509.07288

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

Claudia Maria Chanu·Luca Degiovanni·Giovanni Rastelli
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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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Claudia Maria Chanu, Luca Degiovanni, Giovanni Rastelli. 2015-11-24. Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post-Winternitz System. https://doi.org/10.3842/sigma.2015.094

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