Abstract:
We consider a problem of factoring the scattering matrix for Schrödinger equation on the real axis. We find the elementary factorization blocks in both the finite and infinite cases and establish a relation to the matrix conjugation problem. We indicate a general scheme for constructing a large class of scattering matrices admitting a quasirational factorization.
Keywords:scattering theory, model equation, factorization, quasirational solution.
Fulltext:
PDF file (455 kB)