Orthogonal polynomials in analytical method of solving differential equations describing dynamics of multilevel systems
V.A. Savva, V.I. Zelenkov, A.S. Mazurenko
An effective method to obtain exact analytical solutions of equations describing the coherent dynamics of multilevel systems is presented. The method is based on the use of orthogonal polynomials, integral transform and their discrete analogues. All the obtained solutions are expressed in terms of the special or elementary functions.