Separation of variables for the Dn type periodic Toda lattice

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.

15 pages, LaTex, no figures

References in corpus (2)

• Separation of variables for the Ruijsenaars system
• Separation of variables and integral relations for special functions

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