Analytical Description of Dynamics of Complex Quantum Systems
V.A.Savva, A.S.Mazurenko, Z.E.Dolya
Theoretical investigation of coherent multiphoton vibrational excitation of molecules by the infrared laser radiation leads to consideration of multilevel quantum system dynamics. An effective analytical method for obtaining exact solutions of the equations of dynamics of these systems have been presented. The method is based on the use of integral transformation and known or specially built orthogonal polynomials. Connection of orthogonal polynomials with definite multilevel system and with definite conditions of excitation have been obtained. The examples of solutions for various systems have been presented.