Excitation dynamics of resonance molecular media in high-power laser fields: exact solutions

An effective method to obtain exact analytical solutions of dynamical equations for multilevel quantum systems in high-power laser fields is presented. The method is based on the use of integral transforms with orthogonal polynomials. Exact solutions are obtained that describe excitation dynamics of various multilevel models with different position of energy levels, with various dependence of dipole moment functions on energy. These models describe laser coherent control of molecular populations. It is necessary for the development the methods of laser controlling chemical reactions