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• W2964223178 abstract "Certain aspects of the integrability/solvability of the Calogero-Sutherland-Moser systems and the Ruijsenaars-Schneider-van Diejen systems with rational and trigonometric potentials are reviewed. The equilibrium positions of classical multi-particle systems and the eigenfunctions of single-particle quantum mechanics are described by the same orthogonal polynomials: the Hermite, Laguerre, Jacobi, continuous Hahn, Wilson and Askey-Wilson polynomials. The Hamiltonians of these single-particle quantum mechanical systems have two remarkable properties, factorization and shape invariance." @default.
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• W2964223178 date "2005-05-01" @default.
• W2964223178 modified "2023-09-26" @default.
• W2964223178 title "Equilibrium positions and eigenfunctions of shape invariant ('discrete') quantum mechanics" @default.
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