Analytical methods in the dynamics of molecular systems with nonequidistant energy levels in a field of laser IR radiation
Savva V.A., Zelenkov V.I., Mazurenko A.S.
A method to obtain exact analytic solutions of equations for coherent dynamics of multilevel systems with non-equidistant energy levels are presented. Two examples are considered: two-parameter and one-parameter families of quantum systems, solutions for which describe their dynamics of multiphoton excitation in powerful laser field. To find the exact solutions well-known classical Jacobi polynomials and new Uvarov-Legendre ones, built specially, have been used. Some specialities of excitation dynamics followed from the solutions obtained for various systems from these families are discussed.