2 research outputs found
Linear -Matrix Algebra for Systems Separable\\ in Parabolic Coordinates
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 matrices for the whole hierarchy, we construct
the associated linear -matrix algebra with the -matrix dependent on the
dynamical variables. A dynamical Yang-Baxter equation is discussed.Comment: 10 pages, LaTeX. Submitted to Phys.Lett.