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Hidden symmetry of the quantum Calogero-Moser system

1995/09/04 by Vadim B. Kuznetsov · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #hep-th #math.QA #nlin.SI #q-alg #solv-int

paper · pdf · doi:10.1016/0375-9601(96)00421-5

published as Phys.Lett.A218(1996) 212-222 · 16 pages, latex, no figures

arxiv created 1995/09/04 · openalex publication_date 1996/08/01 · arxiv updated 2009/11/30 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

Hidden symmetry of the quantum Calogero-Moser system with the inverse-square potential is explicitly demonstrated in algebraic sense. We find the underlying algebra explaining the super-integrability phenomenon for this system. Applications to related multi-variable Bessel functions are also discussed.

Citations

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