Analytical solutions for multilevel models of multiphoton vibrational excitation of molecules
Mazurenko A.S.
Exact analytic solutions describing excitation of families of multilevel model systems by monochromatic field have been obtained. Orthogonal polynomials have been constructed for solving of dynamics equations of the multilevel systems. The dipole moments and frequency detunings in the systems can have values in wide range. Analytic method has been worked out for the use of orthogonal functions to obtain the solutions. Application of known and constructed orthogonal functions makes possible the analytic description of multilevel systems with new qualitative peculiarities of dynamics. Excitation of systems which have transition with great dipole moment and systems with variation of the total number of particles has been investigated.