Direct and inverse multichannel scattering problems

作者：Lyubarskii Yu I^*; Marchenko V A

来源：Functional Analysis and Its Applications, 2007, 41(2): 126-142.

DOI：10.1007/s10688-007-0012-0

• inverse scattering problem
• Sturm-Liouville operator
• differential-difference operator
• Jacobi matrix

We consider small oscillations of a system of pairwise interacting particles in an external field near a stable equilibrium. The system is assumed to consist of finitely many channels, i.e., semi-infinite linear chains of particles, attached to a scatterer, which is a finite system of interacting particles. Direct and inverse scattering problems are considered. In particular, an algorithm finding characteristics of the channels on the basis of scattering data is given.

• 出版日期2007-6