Quantum systems related to root systems and radial parts of Laplace operators

2002/03/18 by M. A. Olshanetsky, A. M. Perelomov
Physics and Astronomy · Mathematics · #math-ph #math.MP

paper · pdf

published as Funct. Anal. Appl. 12 (1978) 121-128 · an old paper (1978) posted for archival purposes

arxiv created 2002/03/18 · arxiv updated 2009/11/30

Abstract

The relation between quantum systems associated to root systems and radial parts of Laplace operators on symmetric spaces is established. From this it follows the complete integrability of some quantum systems.

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