Український математичний конгрес  2009
Анна Игнатенко (Одесский государственный экологический университет, Одесса, Украина) New quantum approach to treating chaotic and statistical phenomena in a multiwave atomic ionization In last years a phenomenon of multiwave atomic ionization in lowfrequency electromagnetic fields attracts a great interest due to the possibility of realizing quantum chaos phenomenon in quantum system. The important features of process are a diffusion on atomic states, which are strongly perturbed by a field, and stochastic character of electron vibrations. In series of papers by Casati et al [1] a dynamical chaos effect for hydrogen atom in a field was at first correctly described by the nonlinear classic mechanics methods. Here we present new quantum approach to treating the chaotic phenomena in the multiwave atomic ionization. It is based on the operator perturbation theory, complex coordinates method, nonrelativistic onechannel quantum defect theory and chaos theory algorithms [2,3]. References:
