Inverse Scattering Problem for Quarkonium Systems. I. One-Dimensional Formalism and Methodology

摘要

The inverse scattering formalism for reflectionless potentials is applied to the reconstruction of confining potentials from bound-state properties. An explicit algebraic technique is presented and tested on several one-dimensional examples. The connection with a classical problem of interacting solitons is exhibited. 27 references. (ERA citation 04:017440)