Explicit solutions of classical generalized toda models |
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Authors: | M A Olshanetsky A M Perelomov |
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Institution: | (1) Institute of Theoretical and Experimental Physics, 117259 Moscow, USSR |
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Abstract: | The explicit solution of the generalized Toda models connected with the root systems of simple Lie algebras is constructed. This solution is obtained by a special projection of geodesic flows on some symmetric spaces on the phase space of the Toda models. In particular, for the usualN-body Toda model the solutions are expressed by minors of the exponent of the Jacobi matrix depending on initial data.This paper has been published early as a preprint ITEP-157 (1978) |
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