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Mathematical Physics

arXiv:1509.07288 (math-ph)
[Submitted on 24 Sep 2015 (v1), last revised 24 Nov 2015 (this version, v2)]

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

Authors: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.
Subjects: Mathematical Physics (math-ph)
Cite as: arXiv:1509.07288 [math-ph]
  (or arXiv:1509.07288v2 [math-ph] for this version)
  https://doi.org/10.48550/arXiv.1509.07288
Journal reference: SIGMA 11 (2015), 094, 9 pages
Related DOI: https://doi.org/10.3842/SIGMA.2015.094

Submission history

From: Claudia Maria Chanu [view email] [via SIGMA proxy]
[v1] Thu, 24 Sep 2015 09:39:47 UTC (10 KB)
[v2] Tue, 24 Nov 2015 05:12:10 UTC (13 KB)
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