On one generalization for the projection matrices method in the S-matrix factorization problem
Dmitry I. Muravyev · Journal of Mathematical Physics · 1999
A boundary value problem for a 2×2 S-matrix is solved by the method of projection matrices. The S-matrix is assumed to be diagnoalized by orthogonal matrix U(k2)=Ω(k2)/det Ω(k2), where matrix elements of Ω(k2) are polynomials. The equation det Ω(k2)=0 has roots of any order. The example is considered for the roots with order 2.