On one generalization for the projection matrices method in the S-matrix factorization problem

摘要

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(k~2) = #OMEGA#(k~2)/(det #OMEGA#(k~2))~(1/2), where matrix elements of #OMEGA#(k~2) are polynomials. The equation det #OMEGA#(k~2) = 0 has roots of any order. The example is considered for the roots with order 2.