Time dependent variation perturbation calculation of two-photon transition probability and hyperfine shift in hydrogen atom under plasma environment

Chaudhuri, Supriya K.; Bhattacharyya, S.; Chaudhuri, Rajat K.; Mukherjee, P. K.

doi:10.1016/j.physleta.2021.127343

Cited by 6 publications

(2 citation statements)

References 47 publications

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“…Results exist also on two photon transition amplitudes, transparency frequencies and absorption coefficients using non-variational pseudo state summation techniques and other approaches. Very recently a new approach using time dependent variation perturbation theory has been adopted by Bhattacharyya et al [30,31] and Chaudhuri et al [32] to estimate the transition energies and transition probabilities of atomic hydrogen under weak and strongly coupled plasma from an analysis of the resonance positions of the frequency dependent hyperpolarizability. The procedure has been found fruitful to predict the two photon transition probabilities under confinement correctly and furnishes a representation of the virtual states hitherto unknown in literature due to its special character.…”

Section: Introductionmentioning

confidence: 99%

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: Introductionmentioning

confidence: 99%

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

View full text Add to dashboard Cite

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“…Almost all these studies concerned perturbation aspects, such as polarizability [37][38][39][40] or hyperpolarizability [41][42][43], and none did focus on the possibility of ionizing the atom with a sufficiently strong field.…”

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confidence: 99%

Static field ionization of the spherically confined hydrogen atom

Micca Longo,

Giordano,

Longo

2023

Int J of Quantum Chemistry

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The ionization of the hydrogen atom confined in a spherical potential well and subjected to a static electric field is studied, using the diffusion Monte Carlo (DMC) method. Atomic ionization within a potential well is found to be a stationary, gradual, and reversible process. The value of the electric field at the onset of ionization is of the order of 0.1 atomic units, and depends on the symmetry of the atomic wave function and on the confinement dimension. By decreasing the confinement sphere, the difference between the bound and ionized states disappears, showing that strict confinement leads to pressure ionization of the atom. The off‐center case is studied characterizing the potential energy surface (PES), and the transition between field‐induced and pressure‐induced ionization is confirmed. Except for very weak fields, the minimum of the PES is reached when the proton is in contact with the boundary of the well.

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Analysis of the cross section and characteristic of fluorescence emission of the He atom confined in the plasma conditions

Chen

2024

Radiation Physics and Chemistry

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Time dependent variation perturbation calculation of two-photon transition probability and hyperfine shift in hydrogen atom under plasma environment

Cited by 6 publications

References 47 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

Static field ionization of the spherically confined hydrogen atom

Analysis of the cross section and characteristic of fluorescence emission of the He atom confined in the plasma conditions

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