Discrete Multichannel Scattering with Step-like Potential
We study direct and inverse scattering problem for systems of interacting particles that have web-like structure. Such systems consist of a finite number of semi-infinite chains attached to the central part formed by a finite number of particles. We assume that the semi-infinite channels are homogeneous at infinity, but the limit values of the coefficients may vary from one chain to another.
KeywordsInverse scattering problem Jacobi matrices quantum graphs
Mathematics Subject Classification (2010)Primary 34L25. Secondary 81U40 47B36 05C50
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