LINEAR R-MATRIX ALGEBRA FOR SYSTEMS SEPARABLE IN PARABOLIC-COORDINATES

Authors
EILBECK JC ENOLSKII VZ KUZNETSOV VB LEYKIN DV
Citation
Jc. Eilbeck et al., LINEAR R-MATRIX ALGEBRA FOR SYSTEMS SEPARABLE IN PARABOLIC-COORDINATES, Physics letters. A, 180(3), 1993, pp. 208-214
Citations number
24
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
180
Issue
3
Year of publication
1993
Pages
208 - 214
Database
ISI
SICI code
0375-9601(1993)180:3<208:LRAFSS>2.0.ZU;2-T
Abstract
We consider a hierarchy of many particle systems on the line with poly nomial potentials separable in parabolic coordinates. Using the Lax re presentation, written in terms of 2 x 2 matrices for the whole hierarc hy, we construct the associated linear r-matrix algebra with the r-mat rix dependent on the dynamical variables. A dynamical Yang-Baxter equa tion is discussed.