The dynamics of zeros of the finite-gap solutions to the Schrodinger equation
Abstract
Description
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.
12 pages, LaTeX
12 pages, LaTeX