The dynamics of zeros of the elliptic solutions to the Schrodinger equation
classification
✦ hep-th
keywords
equationschrodingersolutionsdynamicsellipticzerosalgebraic-geometricalcase
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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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