The finite Toda lattices |
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Authors: | V I Inozemtsev |
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Institution: | (1) Laboratory of Theoretical Physics, JINR, Head Post Office P.O. Box 79, Moscow, USSR |
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Abstract: | Connection is established between one-dimensional Toda lattices, constructed on the basis of the systems of simple roots of classical and affine Lie algebras, and other integrable systems of interacting particles. That connection allows us to find new lattices differing from the known ones by the interaction of particles near the ends. Some of the new lattices admit non-Abelian generalizations. |
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