Energy Approach to Atoms in a Laser Filed and Quantum Dynamics with Laser Pulses of Different Shape

An Advanced Laser Photoionization Separation Scheme for Radioactive Isotopes and Products of Atomic Energetics: Uranium and the Transuranium Elementsv.

“…But, it is obvious that here there is a problem of significant disadvantage of the two-step selective ionization of atoms by laser radiation method. The situation is more simplified for autoionization resonance's in the atomic spectra, but detailed data about characteristics of these levels are often absent (Letokhov, 1977(Letokhov, , 1983Glushkov & Ivanov, 1986, 1992 [ [2][3][4][5][6][7]. The key problems here are connected with difficulties of theoretical studying and calculating the autoionization resonance characteristics.…”

“…This issue is being dedicated to a great number of works, because, obviously, the fundamental solution to the problem of destruction of long-lived radioactive waste fission products from spent nuclear fuel will undoubtedly contribute to further development of safe nuclear energy. In a light of saying, the effective technologies of detection and separation of the heavy radioactive isotopes are critically important [1][2][3][4][5][6][7][8][9][10]. The basis for its successful realization is, at first, carrying out the optimal multi stepped photo-ionization schemes for different elements and, at second, availability of enough effective UV and visible range lasers with high average power (Letokhov, 1977(Letokhov, , 1979(Letokhov, , 1983etc) [2,3].…”

Nonlinear dynamics of laser systems with elements of a chaos: Advanced computational code

“…These systems can be considered in the first approximation as a grid of autogenerators (quantum generators), coupled by different way [1][2][3][4][5][6][7][8][9][10]. It is easily to understand that a quantitative studying of the chaos phenomenon features is of a great interest and importance for many scientific and technical applications.…”

“…The statistical convergence tests together with surrogate data algorithm can provide the satisfactory significance of the investigated data regarding the state-space reconstruction. In Table 1 we present the main blocks of our universal chaos-geometric approach to computational studying a non-linear dynamics of the chaotic systems [6][7][8][9][10][11][12][13][14][15][16][17][18][19]. 3.…”

“…The formalism is based on using the advanced generalized techniques such as the wavelet analysis, multi-fractal formalism, mutual information approach, correlation integral analysis, false nearest neighbour algorithm, the Lyapunov's exponents analysis, and surrogate data method, prediction models etc (see details in Refs. [6][7][8][9][10][11][12][13][14][15][16][17][18][19]). There are firstly presented the numerical data on topological and dynamical invariants of chaotic systems, in particular, the correlation, embedding, Kaplan-York dimensions, the Lyapunov's exponents, Kolmogorov's entropy etc for laser (the semiconductor GaAs/GaAlAs laser with retarded feedback) systems dynamics in chaotic and hyperchaotic regimes.…”