Relativistic theory of excitation and ionization of Rydberg atomic systems in a Black-body radiation field

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

“…The corresponding oscillator strength: gf= 2  n /6.6710 15 , where g is the degeneracy degree,  is a wavelength in data, obtained without using the optimized basis set and accounting for the exchangepolarization corrections; lower number in the line "Our work"with using the optimized basis set and accounting for the exchangepolarization corrections) for 1s 2 2s ( 2 S 1/2 ) → 1s 2 3p ( 2 P 1/2 ) transitions in the Li-like ions with Z=21,22. In Table 1 the data on the wavelengths, oscillator strengths, calculated by Banglin Deng et al [52] (in the framework of the relativistic configurationinteraction formalism using multiconfiguration DF wave functions and considering the Breit interaction, QED and nuclear mass corrections), Zhang et al (the Dirac-Fock-Slater method and disturbed wave approximation), Martin et al (the relativistic quantum defect method),Nahar (ab initio calculations including relativistic effects employing the Breit-Pauli R-matrix method) and the NIST data [10][11][12][13][14] are listed too. The data by Banglin Deng et al [12] are obtained in the length gauge, and the ratios (V/L; in %) of the velocity and length gauges data to check the accuracy of calculations are listed.…”

“…Formally a potential V(r|R) in these equations includes electric and polarization potentials of the nucleus, V X is the exchange inter-electron interaction (in the zeroth approximation). The standard Kohn-Sham (KS) exchange potential is [13]:…”

“…There have been sufficiently many reports of theoretical and experimental studies of energies and oscillator strengths for the Li-like ions and other alkali-like ions (see, for example, [7][8][9][10][11][12][13][14][15]). Banglin Deng et al [12] presented the calculated wavelengths, oscillator strengths, transition probabilities, and line strengths for Li-like ions (Z = 7-30) in the framework of the relativistic configuration-interaction formalism using MCDF wave functions and considering the Breit interaction, QED and nuclear mass corrections.…”

New Nonlinear Chaos-Dynamical Analysis of Atmospheric Radon 222rn Concentration Time Series From Beta Particles Activity Data of Radon Monitors

“…There are firstly received data on topological and dynamical invariants for the time series of the 222 Rn concentration, discovered a deterministic chaos phenomenon using detailed data of measurements of the radon concentrations at SMEAR II station of the Finnish Meteorological Institute (see details in Refs. [72][73][74][75]).…”

New Approach and Microsystem Technology of Advanced Non-Linear Analysis and Modelling Chaotic Environmental Radioactivity Dynamics

“…23,24]. All calculations can be performed with using "Geomath" and "Quantum Chaos" computational codes [4, [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38].…”