Collisional shift of the heavy atoms hyperfine lines in an atmosphere of the inert gas

Florko, T. A.; Амбросов, С. В.; Свинаренко, А. А.; Tkach, T. B.

doi:10.1088/1742-6596/397/1/012037

Cited by 33 publications

(19 citation statements)

References 10 publications

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“…The theoretical basis of the RMBPT with the Dirac-Kohn-Sham zeroth approximation was widely discussed [26,27,[93][94][95][96][97][98][99][100][101][102], and here we will only present the essential features. As usually, we use the charge distribution in atomic (ionic) nucleus (r) in the Gaussian approximation:…”

Section: Relativistic Many-body Perturbation Theory With Optimized Zementioning

confidence: 99%

Хвильові і осциляторні сильні сторони Li-подібних багатозарядних іонів в рамках теорії відносного збудження багатьох тіл

Khetselius

Mykhailov²,

Ефимова³

et al. 2018

Photoelectronics

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The relativistic many-body perturbation theory with the optimized Dirac-Kohn-Sham zeroth approximation is applied to calculation of the radiative transitions wavelengths and oscillator strengths for some Li-like multicharged ions. The relativistic, exchange-correlation and other corrections are accurately taken into account. The optimized relativistic orbital basis set is generated in the optimal many-body perturbation theory approximation with fulfilment of the gauge invariance principle. An accurate treatment of the QED perturbation theory fourth order (a second order of the atomic perturbation theory) Feynman diagrams (whose contribution into the energy shift imaginary part (radiation width) for the multi-electron atoms accounts for multi-body correlation effects) is performed. The obtained data on the radiative transition wavelengths and oscillator strengths for some transition in spectra of the Li-like multicharged ions are analyzed and compared with alternative theoretical and experimental results.

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Section: Relativistic Many-body Perturbation Theory With Optimized Zementioning

confidence: 99%

Хвильові і осциляторні сильні сторони Li-подібних багатозарядних іонів в рамках теорії відносного збудження багатьох тіл

Khetselius

Mykhailov²,

Ефимова³

et al. 2018

Photoelectronics

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“…In the second order, there are two kinds of diagrams: polarization and ladder ones. The polarization diagrams take into account the quasiparticle interaction through the polarizable core, and the ladder diagrams account for the im-mediate quasiparticle interaction [11][12][13][14][15][16][17][18][19][20]. Some of the ladder diagram contributions as well as some of the three-quasiparticle diagram contributions in all PT orders have the same angular symmetry as the two-quasiparticle diagram contributions of the first order.…”

Section: Advanced Relativistic Many-body Perturbation Theory and Enermentioning

confidence: 99%

Теоретичне Вивчення Спектру Ітербію На Основі Релятивістської Багаточасткові Теорії Збурень: Двічі Збуджені Валентні Стани

et al. 2018

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Theoretical studying spectrum of doubly excited valence states of the ytterbium is carried out within the relativistic many-body perturbation theory and generalized relativistic energy approach. The zeroth approximation of the relativistic perturbation theory is provided by the optimized Dirac-Kohn-Sham ones. Optimization has been fulfilled by means of introduction of the parameter to the Kohn-Sham exchange potentials and further minimization of the gauge-non-invariant contributions into radiation width of atomic levels with using relativistic orbital set, generated by the corresponding zeroth approximation Hamiltonian.

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“…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.…”

Section: Introductionmentioning

confidence: 99%

“…In a general case, s(n) is any time series, particularly the amplitude level. Since processes resulting in the chaotic behaviour are fundamentally multivariate (look [18][19][20][21][22][23]), it is necessary to reconstruct phase space using as well as possible information contained in the s(n). Such a reconstruction results in a certain set of ddimensional vectors y(n) replacing the scalar measurements.…”

Section: Introductionmentioning

confidence: 99%

“…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.…”

Section: Introductionmentioning

confidence: 99%

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

Buyadzhi

Глушков

Khetselius

et al. 2017

J. Phys.: Conf. Ser.

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Abstract. A general, uniform chaos-geometric computational approach to analysis, modelling and prediction of the non-linear dynamics of quantum and laser systems (laser and quantum generators system etc) with elements of the deterministic chaos is briefly presented. The approach 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 There are firstly presented the numerical data on the topological and dynamical invariants (in particular, the correlation, embedding, Kaplan-York dimensions, the Lyapunov's exponents, Kolmogorov's entropy and other parameters) for laser system (the semiconductor GaAs/GaAlAs laser with a retarded feedback) dynamics in a chaotic and hyperchaotic regimes. IntroductionIn a modern computational quantum and laser physics, electronics and others there are studied various systems and devices (such as atomic and molecular systems in an electromagnetic field, multi-element semiconductors and gas lasers etc), dynamics of which can exhibit a chaotic behaviour. 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. At the present time it became one of the most actual and important problems of computational physics of the complex non-linear systems.In this work we firstly applied a general, uniform chaos-geometric formalism to analysis and modelling of non-linear dynamics of the laser systems with elements of a chaos. 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.

show abstract

Collisional shift of the heavy atoms hyperfine lines in an atmosphere of the inert gas

Cited by 33 publications

References 10 publications

Хвильові і осциляторні сильні сторони Li-подібних багатозарядних іонів в рамках теорії відносного збудження багатьох тіл

Хвильові і осциляторні сильні сторони Li-подібних багатозарядних іонів в рамках теорії відносного збудження багатьох тіл

Теоретичне Вивчення Спектру Ітербію На Основі Релятивістської Багаточасткові Теорії Збурень: Двічі Збуджені Валентні Стани

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

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