Abstract
It is shown that the inverse scattering method applies to both the classical and the quantum Goryachev-Chaplygin top. A new method, based on theR-matrix formalism, is proposed for deriving the equations determining the spectrum of the quantum integrals of motion. This method is of a rather general nature and may serve as an alternative to the so-called algebraic Bethe Ansatz.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 133, pp. 236–257, 1984.
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Sklyanin, E.K. Goryachev-Chaplygin top and the inverse scattering method. J Math Sci 31, 3417–3431 (1985). https://doi.org/10.1007/BF02107243
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DOI: https://doi.org/10.1007/BF02107243