Strength-function algorithm for stationary problems

Possibility of application of the strength function method to the solution of arbitrary quantum-mechanical stationary problem with discrete nondegenerate spectrum is demonstrated. The method proposed for the construction of the strength function does not require the diagonalization of the Hamiltonian and reduces to the calculation of the signed minors to the Hamiltonian matrix. An algorithm is given for constructing the strength function for the general interaction invariant under the time inversion in the random phase approximation. A particular case not considered earlier is analysed which is important for the description of the structure of fast-rotating nuclei.