The dynamics of zeros of the elliptic solutions to the Schrodinger equation

Details The dynamics of zeros of the elliptic solutions to the Schrodinger equation The dynamics of zeros of the elliptic solutions to the Schrodinger equation

2000-04-05

arxiv.org/abs/hep-th/0004029v1

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, LaTeX2e

Scientific paper

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.

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