arXiv subjects

Y. Volvovsky

Publications and source records attributed to Y. Volvovsky.

2 recordsLinked to original sources

arXiv2000

The dynamics of zeros of the finite-gap solutions to the Schrodinger equation

Following the recent paper by J. F. van Diejen and H. Puschmann we investigate the behavior of zeros of the finite-gap solutions to the Schrodinger equation. As a result, a new system of particles on a punctured Riemann surface is constructed. It is shown to be Hamiltonian and integrable.

hep-th↗

arXiv2000

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

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.

hep-th↗