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Quantum Toda systems and Lax pairs

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Abstract

We describe a general method for constructing a Lax pair representation of certain quantum mechanical systems that are integrable at the classical level. This is then used to find conserved quantities at the quantum level for the Toda systems.

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Authors and Affiliations

  1. Physics Division, School of Technology, University of Thessaloniki, Greece

    N. Ganoulis

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  1. N. Ganoulis
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Communicated by Ya. G. Sinai

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Ganoulis, N. Quantum Toda systems and Lax pairs. Commun.Math. Phys. 109, 23–32 (1987). https://doi.org/10.1007/BF01205671

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  • DOI: https://doi.org/10.1007/BF01205671

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