Geometry of a Relativistic Quantum Chaos: New approach to dynamics of quantum systems in electromagnetic eld and some applications

Work goes on development of new relativistic chaos-geometric and quantum-dynamic approach to solve problems of complete modelling relativistic chaotic dynamics of atoms in an electromagnetic eld. As usually an approach consistently includes a number of new relativistic quantum models and a number of new or improved methods of analysis (correlation integral, fractal analysis, algorithms, average mutual information, false nearest neighbors, Lyapunov exponents, surrogate data, non-linear prediction, spectral methods, etc.) We present here rstly the corresponding atomic ionization quantitative data for some atoms in a microwave external eld