This article is cited in 10 papers

The Toda chain: Solutions with dynamical symmetry and classical orthogonal polynomials

A. S. Zhedanov


Abstract: Solutions of the Toda chain for which the operators of the Lax pair form a Lie algebra with three generators are found. The corresponding eigenvalue problem generates the classical orthogonal polynomials of Kravchuk, Meixner, Pollaczek, Laguerre, Charlier, and Hermite.

Received: 10.10.1988

 English version: Theoretical and Mathematical Physics, 1990, 82:1, 6–11

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