Polarizabilities and Hyperpolarizabilities for Lithium Atoms in Debye Plasmas

Kang, Shimin; He, Juan; Xu, Ning; Chen, Changyong

doi:10.1088/0253-6102/62/6/17

Cited by 11 publications

(4 citation statements)

References 67 publications

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“…For example, it is related to another experimentally significant macroscopic property called refractive index [60]. The static 2 l -pole polarizability in terms of oscillator strengths for different energy state combinations is given by the relation [55][56][57]61]…”

Section: Theorymentioning

confidence: 99%

Particle confined in modified ring-shaped potential

et al. 2020

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The spectrum of a particle confined in Hulthén plus ring-shaped potential is obtained by solving the time-independent Schrödinger equation numerically. The effect of potential parameters on various properties of the particle have been investigated in detail. The energy levels, radial matrix elements, oscillator strengths and polarizabilities of the particle have been found to show strong dependence on the confining potential parameters. The presence of the ring potential is found to appreciably alter the angular part of dipole matrix elements. Also, it is shown that the comparison theorem of Quantum Mechanics for energy eigenvalues for four different potentials, viz., Coulomb, Hulthén, Yukawa and Hulthén2 is independent of the presence of ring potential.

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Section: Theorymentioning

confidence: 99%

Particle confined in modified ring-shaped potential

et al. 2020

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“…The effects of plasma environments on the transition energies, oscillator strengths, polarizabilities and hyperpolarizabilities of different atoms such as helium, lithium and sodium have been reported recently [38][39][40]. In the present work, a spherically confined hydrogen atom embedded in dense quantum plasma characterized by ECSCP is considered and the energy spectra, dipole matrix elements, and oscillator strengths for the system have been determined.…”

Section: Introductionmentioning

confidence: 96%

Intense field induced excitation and ionization of an atom confined in a dense quantum plasma

2015

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Exponential cosine screened Coulomb potential (ECSCP) has been widely used in various branches of physics e.g., solid-state physics, nuclear physics and plasma physics. The atomic photoionization processes under plasma shielding can serve as an efficient tool for study of plasma properties in various environments ranging from nano-scale devices to astrophysical objects. In the present study, ECSCP has been used to characterize a dense quantum plasma and its effect on the spectrum of an atom encaged in a spherical box has been investigated. The work has further been extended to study the response of such a system to a periodic laser field. Photoexcitation and ionization probabilities of the system have been studied as a function of applied laser field parameters using the non-perturbative Floquet technique. As the Floquet method requires exact energy values and oscillator strengths, the spectrum of confined system has been calculated using Bernstein-polynomial method. The variation of energy spectrum and oscillator strengths with screening as well as confinement parameters has also been explored.

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“…Dipole polarizability gives the lowest order response of system to applied fields while quadrupole and octupole polarizabilities refer to higher order interactions. The static

2^{l}

‐pole polarizability, where l = 1, 2, and 3 for dipole, quadrupole, and octupole cases, respectively, is given by the relation

α_{l} = \sum_{n^{'} \neq n} \frac{2 | 〈 ψ_{n} (r) | r^{l} | ψ_{n^{'}} (r) 〉 |^{2} (E_{n^{'}} - E_{n})}{{false(E_{n^{'}} - E_{n} false)}^{2}},

where the initial state is n and the summation is over all intermediate vibrational states including the continuum.…”

Section: Theory and Computational Detailsmentioning

confidence: 99%

Rovibrational spectra of bounded diatomic molecules

Lumb

Prasad

2016

Int J of Quantum Chemistry

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Spectra of a bounded diatomic molecule is studied numerically. Shifted Deng-Fan oscillator potential has been used to model the molecule. The accurate five-point finite difference method has been used to solve the Schr€ odinger equation for rovibrational motion of the molecule. The energies of the bound states as well as free states of the molecule have been calculated. In addition, radial matrix elements like hw i jr n jw j i, n 5 1, 2, and 3 have been calculated. These have been used to calculate the 2 l -pole static polarizabilities. The variation of bound state energies, matrix elements and 2 l -pole static polarizabilities with the boundary radius has also been studied. The Stark effect in case of this bounded system has also been investigated. K E Y W O R D S bounded diatomic molecule, Deng-Fan oscillator potential, Stark effect, static polarizability Int.

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Polarizabilities and Hyperpolarizabilities for Lithium Atoms in Debye Plasmas

Cited by 11 publications

References 67 publications

Particle confined in modified ring-shaped potential

Particle confined in modified ring-shaped potential

Intense field induced excitation and ionization of an atom confined in a dense quantum plasma

Rovibrational spectra of bounded diatomic molecules

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