An elegant solution of the n-body Toda problem

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX, 13 pp

Scientific paper

10.1063/1.531465

The solution of the classical open-chain n-body Toda problem is derived from
an ansatz and is found to have a highly symmetric form. The proof requires an
unusual identity involving Vandermonde determinants. The explicit
transformation to action-angle variables is exhibited.

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