QED calculation of the superheavy elements ions: Energy levels, Lamb shift, hyperfine structure, nuclear finite size effect

Sensing the Tokamak Plasma Parameters by Means High Resolution X-Ray Theoretical Spectroscopy Method: New Scheme

“…The main exchange effect will be taken into account if in the equation for the 1s orbital we assume V(r)=V(r|1s)+V(r|nlj) and in the equation for the nlj orbital V(r)=2V(r|1s). The rest of the exchange-correlation effects are accounted for in the first two PT orders by the total inter-electron interaction [11,14,15]. The core electron density is defined by iteration algorithm within gauge invariant QED procedure [13].…”

“…Other details of the calculation procedure, including definition of the matrix elements of the QED PT with effective account of the exchange-correlation effects can be found in ref. [9][10][11][12][13][14][15][16][17][18]. In all calculations the complex of molecular programs "Superatom" has been used.…”

Sensing Spectral Hierarchy, Quantum Chaos, Chaotic Diffusion and Dynamical Stabilisation Effects in a Multi- Photon Atomic Dynamics With Intense Laser Field

“…Described approach is realized as computer program block [18] in atomic numeric code "Superatom" (c. f. [10,[22][23][24]), which includes a numeric solution of the Dirac equation and calculation of the matrix elements of the (17)- (18) type. The original moment is connected with using the consistent QED gauge invariant procedure for generating the atomic functions basis's (optimized basis's) [17][18][19][20][21].…”

“…Our data are also presented in fig. 3 (solid lines: curve 1 is got with using gauge invariant atomic basis's; curve 2 -with using atomic basis's without optimization) (c. f. [18,21,22]). So, theory gives sufficiently good agreement with experiment.…”

Advanced Quantum Mechanical Calculation of Superheavy Ions: Energy Levels, Radiation and Finite Nuclear Size Effects

“…We propose an advanced ab initio method to calculating spectra of heavy systems with account of the relativistic, correlation, nuclear, QED effects. It is based on the gauge-invariant QED PT [9][10][11]13,14]. The wave functions zeroth basis is found from the Dirac equation solution with potential, which includes the core potential, electric, polarization potentials of nucleus.…”