Structural properties of hydrogen-like ions (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e30581" altimg="si7.svg"><mml:mrow><mml:mi>Z</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math> 1–18) under quantum and classical plasma environment

Nayek, Sujay Kr.; Mondal, Santanu; Saha, Jayanta K.

doi:10.1016/j.adt.2020.101379

Cited by 20 publications

(4 citation statements)

References 25 publications

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“…This diffuseness of the system is prominent as the node position of the density profile for any state moves towards the higher r value with the increase of the screening parameter μ by keeping total number of nodes fixed. The density ρ(r) for H atom in it's nl states (n = 1 − 4, l = 0, 2) are showing similar profiles as reported by Nayek et al [77] where the radial part of the wave function is expanded in pure exponential basis set. The present results are also consistent with the work of Paul and Ho [78] where the trial wave function is expanded in terms of Laguerre polynomial.…”

Section: Resultssupporting

confidence: 82%

Information theoretic measures on the two-photon transitions of hydrogen atom embedded in weakly coupled plasma environment

Mondal

Saha²,

Mukherjee³

et al. 2023

Phys. Scr.

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The quantum information theoretic measures in terms of Shannon entropy and Fisher entropy (both in position and momentum spaces) on the ground, excited as well as virtual states arising out of the two-photon transitions (1s--> nl; n=2-4, l=0,2) of H atom embedded in classical weakly coupled plasma environment are done for the first time. Fourth order time dependent perturbation theory is adopted within a variational framework for calculating the two photon excitation energies and their respective wavefunctions from an analysis of the pole positions of the non linear response of the system. The representation of virtual state follows from an analysis of the linear response at such poles using a novel method developed by us. Ground and perturbed state wave functions of appropriate symmetries are represented by linear combination of Slater-type orbitals. The analytic form of the momentum space wave functions of ground, excited and virtual states are determined by taking Fourier transformation of the respective position space wave functions. The quantum information measures give interesting insights on the delocalization patterns of the all the real and virtual states under question \textit{w.r.t.} the increase in plasma strength. The estimated data values are found to be in excellent agreement with the few existing in literature for the ground as well as excited states participating in the two-photon transitions. Such data for the virtual states are completely new and can be set as benchmark for future works in related disciplines.

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Section: Resultssupporting

confidence: 82%

Information theoretic measures on the two-photon transitions of hydrogen atom embedded in weakly coupled plasma environment

Mondal

Saha²,

Mukherjee³

et al. 2023

Phys. Scr.

Self Cite

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“…It is worth determining their accurate values in different dimensions in future work. The two most recent works come from Nayek et al [68] and Napsuciale and Rodríguez [69]. The former authors [68] developed the Ritz variational method based on pure-exponential type basis functions and calculated the critical screening parameters for the ground state of H-like ions in both SCP and ECSCP.…”

Section: Scp and Ecscpmentioning

confidence: 99%

“…The two most recent works come from Nayek et al [68] and Napsuciale and Rodríguez [69]. The former authors [68] developed the Ritz variational method based on pure-exponential type basis functions and calculated the critical screening parameters for the ground state of H-like ions in both SCP and ECSCP. One can easily verify that their reported critical values agree very well with our Zm-scaling law, mentioned in section 2.1.…”

Section: Scp and Ecscpmentioning

confidence: 99%

Critical screening parameters and critical behaviors of one-electron systems with screened Coulomb potentials

Jiao¹,

Xie²,

Liu³

et al. 2021

J. Phys. B: At. Mol. Opt. Phys.

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The critical screening parameters for one-electron systems screened by Hulthén, Debye–Hückel, and exponential cosine screened Coulomb potentials are calculated with an accuracy close to the precision of numerical arithmetic. The results for a H atom with an infinitely heavy nucleus are reported from the ground to high-lying excited states, and those for arbitrary two-body charged systems are derived from the Zm-scaling law. A thorough comparison of the critical screening parameters for the ground and the first p-wave excited states with previous predictions is made to demonstrate the accuracy of our calculations. The critical behaviors of system-bound and pseudo-continuum eigenenergies for s- and non-s-wave states are shown to follow the quadratic and linear laws, respectively. The variation of the corresponding wave functions is analyzed in detail. For systems with non-zero orbital angular momenta, the bound states convert into shape-type resonances when the screening parameter exceeds the critical value. The resonance energy shares the same linear law as the pseudo-continuum state, while the resonance width varies by an l-dependent power law. It is further shown that the different asymptotic behaviors of the resonance energy and width are consistent with the complex analog of the Hellmann–Feynman theorem.

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“…With gradually increasing screening strength, each bound state is eventually absorbed into the continuum at a particular screening parameter λ c , which is generally referred to as the critical screening parameter for that particular state [14]. Several theoretical methods have been proposed for accurately calculating the bound state energy spectra of one-electron atoms under the ECSCP [15][16][17][18][19][20][21][22][23][24][25][26]. For two-electron atoms embedded in strongly coupled dense quantum plasmas, investigation of the plasma screening effect on both bound states and auto-ionizing resonances has also attracted considerable interests in recent years [27][28][29][30][31][32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

p-wave resonances in the exponential cosine screened Coulomb potential*

Wang,

Jiao,

Liu

et al. 2024

Commun. Theor. Phys.

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We perform benchmark calculations of the p-wave resonances in the exponentially cosine screened Coulomb potential using the uniform complex-scaling generalized pseudospectral method. The present results show significant improvement in the calculation accuracy compared to previous predictions and correct the misidentification of resonance electron configuration in previous works. It is found that the resonance states approximately follow a n^2-scaling law which is similar to the bound counterparts. The birth of new resonance would distort the trajectory of an adjacent higher-lying resonance.

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Structural properties of hydrogen-like ions (Z= 1–18) under quantum and classical plasma environment

Cited by 20 publications

References 25 publications

Information theoretic measures on the two-photon transitions of hydrogen atom embedded in weakly coupled plasma environment

Information theoretic measures on the two-photon transitions of hydrogen atom embedded in weakly coupled plasma environment

Critical screening parameters and critical behaviors of one-electron systems with screened Coulomb potentials

p-wave resonances in the exponential cosine screened Coulomb potential*

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