We consider a hierarchy of many particle systems on the line with polynomial potentials separable in parabolic coordinates. Using the Lax representation, written in terms of 2×2 matrices for the whole hierarchy, we construct the associated linear r-matrix algebra with the r-matrix dependent on the dynamical variables. A dynamical Yang-Baxter equation is discussed. © 1993.
|Number of pages||7|
|Journal||Physics Letters A|
|Publication status||Published - 6 Sep 1993|