SEPARATION OF VARIABLES FOR THE D-N-TYPE PERIODIC TODA LATTICE

Authors
KUZNETSOV VB
Citation
Vb. Kuznetsov, SEPARATION OF VARIABLES FOR THE D-N-TYPE PERIODIC TODA LATTICE, Journal of physics. A, mathematical and general, 30(6), 1997, pp. 2127-2138
Citations number
25
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
30
Issue
6
Year of publication
1997
Pages
2127 - 2138
Database
ISI
SICI code
0305-4470(1997)30:6<2127:SOVFTD>2.0.ZU;2-Y
Abstract
We prove separation of variables for the most general (D-n-type) perio dic Toda lattice with a 2 x 2 Lax matrix. It is achieved by finding pr oper normalization for the corresponding Baker-Akhiezer function. Sepa ration of variables for all other periodic Toda lattices associated wi th infinite series of root systems follows by taking appropriate limit s.