Geometry of a Relativistic Quantum Chaos: New approach to dynamics of quantum systems in electromagnetic field and uniformity and charm of a chaos
DOI:
https://doi.org/10.15673/2072-9812.4/2014.42023Kulcsszavak:
Relativistic quantum chaos, quantum systems in field, chaos-geometric and quantum-dynamics approachAbsztrakt
Work is devoted to the development of the theoretical foundations of the universal new relativistic chaos-geometric and quantum-dynamic approach that 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.) to solve problems of complete modelling relativistic chaotic dynamics in an electromagnetic field. For a number of atomic systems there are firstly discovered availability of a relativistic quantum chaos and obtained the corresponding quantitative data on the chaos characteristics.
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