Separation of variables for the Dn type periodic Toda lattice

Details Separation of variables for the Dn type periodic Toda lattice Separation of variables for the Dn type periodic Toda lattice

1997-01-14

arxiv.org/abs/solv-int/9701009v1

J Phys A 30 (1997) 2127-2138

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTex, no figures

Scientific paper

10.1088/0305-4470/30/6/033

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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