Analytical solution for differential equations of multilevel systems dynamics in a multifrequency field
A.S. Mazurenko
Homogeneous systems of linear ordinary differential equations of the first order can be considered as the evolutionary equation in physics for some multilevel systems. In quantum physics closed systems are described by the Hamiltonian i.e. the Hermitian matrix of coefficients of the equations system. Analytic methods in physics to solve the differential equations with an arbitrary functional dependence in the Hamiltonian are presented.