Relativistic corrections for screening effects on the energies of hydrogen-like atoms embedded in plasmas

Poszwa, A.; Bahar, M. K.

doi:10.1063/1.4905905

Cited by 25 publications

(13 citation statements)

References 55 publications

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“…It is noted from Table 2 and comparison in the Supporting Information that the present results show excellent agreement with the calculations of Poszwa [54]. For further comparison, we list in Table 3 the present and Chaudhuri et al [56]'s first‐order relativistic corrections and the fully relativistic calculation of Poszwa and Bahar [55] for the ground state of Ca 19+ in ECSCP. The present relativistic‐corrected energies are in better agreement with the fully relativistic results of Poszwa and Bahar [55] in all cases.…”

Section: Resultssupporting

confidence: 79%

“…Input parameters of N = 400 and L = hri are used in the present GPS calculations and the reported numerical values are fully converged in all digits shown in the tables. It is found that our results are in excellent agreement with the previous predictions when they are available and, furthermore, the agreement in ECSCP demonstrates that the first-order direct perturbation approximation is well applied for low-Z hydrogen-like ions [54,55].…”

Section: Relativistic Correctionssupporting

confidence: 88%

“…For SCP and HP, the calculations of Poszwa [54] by using an expansion method based on Sturmain functions are included for comparison. For ECSCP, there are no predictions available in the literature and we compare with the fully relativistic calculations of Poszwa and Bahar [55] by solving the Dirac equation. Input parameters of N = 400 and L = 〈 r 〉 are used in the present GPS calculations and the reported numerical values are fully converged in all digits shown in the tables.…”

Section: Resultsmentioning

confidence: 99%

“…Non‐relativistic and the overall (three‐term summed) first‐order relativistic corrections for bound states with n ≤ 4 and j = l − 1/2 were reported with high accuracy. The effectiveness of the direct perturbation theory is then confirmed by the same author [55] for hydrogen‐like ions with nuclear charge up to 40, through a comparison with the fully relativistic calculations of the Dirac equation. The most recent work of Chaudhuri et al [56] solved the non‐relativistic energies and the first‐order relativistic corrections by expanding the system wave function in terms of Slater‐type orbitals which, to the best of our knowledge, is the first investigation on the individual contribution of the three relativistic terms on atomic structure under screening confinements.…”

Section: Introductionmentioning

confidence: 82%

“…For further comparison, we list in Table 3 the present and Chaudhuri et al [56]'s first-order relativistic corrections and the fully relativistic calculation of Poszwa and Bahar [55] for the ground state of Ca 19+ in ECSCP. The present relativistic-corrected energies are in better agreement with the fully relativistic results of Poszwa and Bahar [55] in all cases. The divergence with respect to the Darwin term accounts for the main part of discrepancies in the total system energy.…”

Section: Relativistic Correctionsmentioning

confidence: 99%

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High‐precision calculation of relativistic corrections for hydrogen‐like atoms with screened Coulomb potentials

Xie

Jiao

Liu

et al. 2021

Int J of Quantum Chemistry

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The first-order relativistic corrections to the non-relativistic energies of hydrogen-like atom embedded in plasma screening environments are calculated in the framework of direct perturbation theory by using the generalized pseudospectral method. The standard Debye-Hückel potential, exponential cosine screened Coulomb potential, and Hulthén potential are employed to model different screening conditions and their effects on the eigenenergies of hydrogen-like atoms are investigated. The relativistic corrections which include the relativistic mass correction, Darwin term, and the spin-orbit coupling term for both the ground and excited states are reported as functions of screening parameters. Comparison with previous theoretical predictions shows that both the relativistic mass correction and spin-orbit coupling obtained in this work are in good agreement with previous estimations, while significant discrepancy and even opposite trend is found for the Darwin term. The overall relativisticcorrected system energies predicted in this work, however, are in good agreement with the fully relativistic calculations available in the literature. We finally present the scaling law of the first-order relativistic corrections and discuss the validity of the direct perturbation theory with respect to both the nuclear charge and the screening parameter.

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Section: Resultssupporting

confidence: 79%

Section: Relativistic Correctionssupporting

confidence: 88%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 82%

Section: Relativistic Correctionsmentioning

confidence: 99%

See 3 more Smart Citations

High‐precision calculation of relativistic corrections for hydrogen‐like atoms with screened Coulomb potentials

Xie

Jiao

Liu

et al. 2021

Int J of Quantum Chemistry

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Charge‐Current Output in Plasma‐Immersed Hydrogen Atom with Noncentral Interaction

Bahar

2021

Annalen der Physik

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A theoretical investigation on the charge‐currents and induced magnetizations of hydrogen atoms with noncentral interaction, immersed in a plasma environment, under the influence of spherical encompassing is performed. The Hartmann potential for noncentral interaction is considered, but it is modified due to the plasma‐embedded hydrogen atom. The interactions in plasma are delineated by keeping in view the more general exponential cosine screened Coulomb (MGECSC) potential which reproduces more general and detailed outcomes. The shielding effect of the plasma environment is regarded by modifying the Hartmann potential through the MGECSC potential. Thus, the hydrogen atom is considered to be under the influence of the plasma modified Hartmann (PMH) potential. While the numerical tridiagonal matrix method (TMM) is employed due to the difficulty of analytical solution to the radial wave equation in nonrelativistic scheme including PMH potential, a hybrid solution technique is preferred by using asymptotic iteration method (AIM) to solve the angular wave equation. This study provides a detailed analysis of the plasma shielding, spherical confinement, and noncentral effect on the production and control of charge‐currents and induced magnetizations. In this analysis, the altenativeness to each other of the plasma environment, spherical encompassing, and noncentral effect is also evaluated, and suggestions are made for related application studies.

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Structural properties of Li atom under quantum and classical plasmas: A composite variational framework

Mondal

Nayek²,

Saha

2021

Contributions to Plasma Physics

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Structural properties of 1s 2 nl ( 2 L) [n = 2-5, l = 0-4; where, n and l are the principal quantum number and orbital angular momentum quantum number, respectively] states of Li atom embedded in classical weakly coupled plasma (WCP) and dense quantum plasma (DQP) have been discussed.The Debye-Hückel potential or the screened-Coulomb potential (SCP) and exponential-cosine-screened Coulomb potential (ECSCP) have been used to mimic the WCP and DQP, respectively. Li atom has been treated as a composite system with a frozen core Li + ion and a chemically active valence electron. The Rayleigh-Ritz variational method with Hylleraas-type basis set has been used to estimate the energy eigenvalue of 1s 2 ( 1 S) state of Li + ion core and a pure exponential basis has been considered to compute the energy of nl ( 2 L) states of the valence electron of Li atom. The influence of ECSCP and SCP on the radial probability distribution of the valence electron of the Li atom has also been studied. K E Y W O R D Sclasscial plasma, lithium atom, quantum plasma, ritz variational method, structural properties INTRODUCTIONThe studies on atomic processes in plasmas are gaining momentum over the years with the gradual development of the experimental facilities to have controlled laboratory plasma with homogeneous temperature and density. The availability of the astrophysical data from stellar and interstellar surroundings e.g. stars, interstellar gas, solar corona, solar wind, gaseous nebulae, cometary tails, rings of Saturn etc. adds as another reason for such investigations. Extensive review articles on the progress of such investigations are now available in the literature. [1,2] Based on the different plasma parameters, plasmas are classified into numerous types. The screened Coulomb potential or Debye-Hückel potential [3] defined asis used to mimic classical weakly coupled plasma (WCP). The plasma screening parameter depends on the plasma particle charge (q), plasma density (n e ), and plasma temperature (T) as follows-= √4 n e q 2 K B T , where K B is the Boltzmann constant. In case of WCP, the plasma temperature (T) is very high whereas the plasma density (n e ) is very low. The

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Relativistic corrections for screening effects on the energies of hydrogen-like atoms embedded in plasmas

Cited by 25 publications

References 55 publications

High‐precision calculation of relativistic corrections for hydrogen‐like atoms with screened Coulomb potentials

High‐precision calculation of relativistic corrections for hydrogen‐like atoms with screened Coulomb potentials

Charge‐Current Output in Plasma‐Immersed Hydrogen Atom with Noncentral Interaction

Structural properties of Li atom under quantum and classical plasmas: A composite variational framework

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