Separation of variables on non-hiperelliptic curve
2005, Vol. 1, No. 1, pp. 53-67
Author(s): Sokolov V. V., Marikhin V. G.
A 8-parametric pair of commuting Hamiltonians of two degrees of freedom, quadratic in moments and coefficients depending only on coordinates is constructed. The Schottky-Manakov and the Clebsch spinning tops are particular cases of this model. The action function as an integral on a non-hyperelliptic curve of genus 4 is found.
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