Duality between integrable Stäckel systems

1998/11/27 by A. V. Tsiganov, Andrey Tsiganov · 8 citations
Chemistry · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Molecular spectroscopy and chirality #Nonlinear Waves and Solitons #nlin.SI #solv-int

paper · pdf · doi:10.1088/0305-4470/32/45/311

published as J. Phys. A, Math. Gen. 32, No.45, 7965-7982, (1999) · LaTeX2e, 18 pages

arxiv created 1998/11/27 · openalex publication_date 1999/10/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

Canonical transformations of the extended phase space are applied to the integrable Stäckel systems. All these transformations may be associated with an ambiguity of the Abel map on the corresponding hyperelliptic curve. For some Stäckel systems with two degrees of freedom the 2 × 2 Lax representations and the dynamical r -matrix algebras are constructed.

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