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Separation of variables for the Dn type periodic Toda lattice

Vadim B. Kuznetsov
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Abstract

We prove separation of variables for the most general (Dn type) periodic Toda lattice with 2x2 Lax matrix. It is achieved by finding proper normalisation for the corresponding Baker-Akhiezer function. Separation of variables for all other periodic Toda lattices associated with infinite series of root systems follows by taking appropriate limits.

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Vadim B. Kuznetsov. 1997-01-14. Separation of variables for the Dn type periodic Toda lattice. https://doi.org/10.1088/0305-4470%2F30%2F6%2F033

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