The dynamics of zeros of the elliptic solutions to the Schrodinger equation
Abstract
Description
J. F. van Diejen and H. Puschmann have recently shown that the dynamics of zeros of the n-solitonic solutions to the Schrodinger equation with the reflectionless potential is governed by a rational Ruijsenaars-Schneider system. We use the algebraic-geometrical construction of solutions to the Schrodinger equation to generalize this result to the elliptic case.
8 pages, LaTeX2e
8 pages, LaTeX2e