Satellite lines of helium-like ions in strongly coupled plasma environment

Chandra, R.; Bhattacharyya, S.; Saha, Jayanta K.; Li, X.; Mukherjee, Tapan Kumar

doi:10.1016/j.jqsrt.2021.107830

Cited by 5 publications

(1 citation statement)

References 43 publications

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“…Fortunately, here the potential has direct parametric dependence on R. Therefore, we attempt to derive HFT employing the conventional procedure by directly differentiating the total energy as a function of R. Note that this ion-sphere model is profoundly useful and expected to be valid in the limit of low temperature and high density. The relevant Hamiltonian within the sphere R is given by [58,65]:…”

Section: Strongly Coupled Plasmasmentioning

confidence: 99%

Hellmann–Feynman theorem and internal pressure for atoms, molecules and plasmas under pressure

Mukherjee

Patra

Roy

2023

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

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Since the beginning of twentieth century, conﬁnement of atom, molecule and plasma inside impenetrable sharp (hard) and smooth (soft) cavities has been studied with utmost interest. Physically, such situations introduce the trapping of a quantum system under high pressure. The internal pressure (Pn,ℓ) of the system under such multi-megabar external pressure has not yet been explored. Also, there is a lack of Hellmann-Feynman theorem (HFT) in such a scenario, which is essential to derive a concrete analytical expression of Pn,ℓunder stressed condition. Here using a scaling concept we provide a general HFT in terms of expectation values of total energy, potential and kinetic energy of a given conﬁned system. Change in boundary condition (from smooth to sharp and vice versa) does not aﬀect the this. Applying this proposed HFT, a closed-form expression of Pn,ℓ and d2d ER2 has been obtained for conﬁned and shell-conﬁned quantum systems. Based on this Pn,ℓ, several virial-like equations are also modelled. This HFT and Pn,ℓ are demonstrated for one and many-electron atoms, plasmas and molecules using both analytical and numerical methods. Its applicability in several other conﬁned systems has been discussed from simple arguments.

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Section: Strongly Coupled Plasmasmentioning

confidence: 99%

Hellmann–Feynman theorem and internal pressure for atoms, molecules and plasmas under pressure

Mukherjee

Patra

Roy

2023

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

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Bound and resonance states of highly charged H‐ and He‐like ions under weakly coupled plasma environment

Mondal,

Sil,

Dutta

et al. 2024

Contrib. Plasma Phys

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The position of bound () states as well as doubly excited resonance , () states of symmetry has been determined for highly charged He‐like ions (, , , , , and Ar16+) along with their respective one‐electron thresholds (, , and ) under weakly coupled plasma environment. These particular ions and their respective charge states are selected due to their frequent occurrence in astrophysical and laboratory plasmas. Ritz variational method with multi‐exponent explicitly correlated Hylleraas type basis and pure‐exponential basis set are adopted for tackling He‐ and H‐like ions, respectively. The resonance width of a few low‐lying resonance states is determined using the stabilization method under different plasma conditions. Ionization potential depression is noted for both the bound and resonance states of the plasma‐embedded ions. It is evident that the width (or the lifetime) of the considered resonance states originating from different dominant configurations follows different patterns w.r.t. the plasma screening length.

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Precise structure calculations of 1,3Fe states of helium atom under exponentially screened Coulomb potential

Sil,

Dutta,

Ghosh

et al. 2024

Atomic Data and Nuclear Data Tables

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Satellite lines of helium-like ions in strongly coupled plasma environment

Cited by 5 publications

References 43 publications

Hellmann–Feynman theorem and internal pressure for atoms, molecules and plasmas under pressure

Hellmann–Feynman theorem and internal pressure for atoms, molecules and plasmas under pressure

Bound and resonance states of highly charged H‐ and He‐like ions under weakly coupled plasma environment

Precise structure calculations of 1,3Fe states of helium atom under exponentially screened Coulomb potential

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