Strange attractors and the probabilities of transitions of an anharmonic oscillator in an external time-dependent field

A theory allowing to describe of quantum chaos in the term of nonlinear classical dynamics is proposed. It is showed that a solution of a quantum problem in quasiclassical region is connected with a solution of a corresponding classical problem which is the classical limit of the quantum one. It is showed also that the wave function phase is satisfied an own equation of motion and it is a classical dynamic equation. Dynamical chaos of nonlinear classical dynamics results to irregularity of the wave function phase and a strange attractor in a classical dynamics of the wave function phase leads to irregularity in probabilities of transitions of anharmonic oscillator in an external time-dependent field. In the pure quantum and the pure classical region corresponding solutions are independent.