Complex-scaling calculations for resonance states of he with screened coulomb potentials

Jiao, Li Guang; Ho, Yew Kam

doi:10.1002/qua.24504

Cited by 21 publications

(12 citation statements)

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“…[8] The confinement and atoms under confinement have been studied in various interdisciplinary studies. Jiao et al [20] studied spectral and structural data of He atom under screened coulomb potential. [18,19] In addition, it is also a very well-known fact that the chemical reactivity of confined systems shows drastic change with change of confinement, hence it has led to many applications.…”

Section: Introductionmentioning

confidence: 99%

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Spectra of electron pair under harmonic and Debye potential

Munjal

Prasad

2017

Contributions to Plasma Physics

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Two electron systems confined by harmonic potential is known as harmonium. Such a system has been studied for many reasons in the literature. In this work we study harmonium under Debye potential. We use higher order finite difference method for the solution of Schrodinger equation. Complete energy spectrum of harmonium and harmonium under Debye potential is studied. Debye screening length shows considerable effect on the energy levels and the radial matrix elements. The results are analysed in the light of existing results and the comparison with available results shows remarkable agreement. KEYWORDSconfined harmonium, Debye potential, radial matrix element INTRODUCTIONThe study of confined atoms was initiated by Michels et al. [1] in 1937 in order to study the effect of high pressure on atomic hydrogen. Since then much of the work has been devoted to study confined atoms. Confined quantum systems have attracted many studies owing to their importance in the physics of quantum heterostructures, where, off late, many new structures are being proposed. [2][3][4][5][6][7] A few structures in various environments are studied using approximate potentials such as power series potentials and screened coulomb Debye potential. [8] The confinement and atoms under confinement have been studied in various interdisciplinary studies. [9][10][11][12][13][14][15][16][17] The study of such systems has gained importance because of technological importance of atoms, molecules, and ions in cavity and excitons in semiconductor heterostructures. [18,19] In addition, it is also a very well-known fact that the chemical reactivity of confined systems shows drastic change with change of confinement, hence it has led to many applications. Even atoms with high atomic numbers have been studied in different confinements. Jiao et al. [20] studied spectral and structural data of He atom under screened coulomb potential. Ghoshal and Ho [21] studied the ground state of two-electron system in generalized screened potential. Jiang et al. [22] studied this system under Lorentzian astrophysical plasma. Two interacting electrons with or without harmonic potential form a system that attracts a lot of interest. Two interacting electron system is a model system which is used to explore the physical aspects of many phenomena involving several electron systems. Two electrons confined in an infinite spherical well has been well studied theoretically. [23][24][25][26][27][28] Study of harmonium atom can be helpful in density functional theory and to study the optical properties of two-electron quantum dot. Even harmonium atom with more than two electrons [29][30][31][32] is also well studied in the literature due to its usefulness in solid state physics and quantum chemistry. Here, we study in detail the properties of harmonium in Debye environment. We solve this problem using eighth order finite difference method to describe the relative motion of the system. The effectiveness of our method is shown by comparing our results with those of available data for ...

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Section: Introductionmentioning

confidence: 99%

“…Complete energy spectrum of harmonium and harmonium under Debye potential is studied. Jiao et al [20] studied spectral and structural data of He atom under screened coulomb potential. The results are analysed in the light of existing results and the comparison with available results shows remarkable agreement.…”

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confidence: 99%

Spectra of electron pair under harmonic and Debye potential

Munjal

Prasad

2017

Contributions to Plasma Physics

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“…In recent years, there has been an increasing interest in the study of atomic systems under the influence of screened Coulomb potentials ( [1][2][3][4][5][6][7][8][9][10], references therein). The screened Coulomb potential can be represented by different models.…”

Section: Introductionmentioning

confidence: 99%

Energies and transition wavelengths for two-electron atoms under Debye screening

Kar

Jiang

2015

Atomic Data and Nuclear Data Tables

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“…[9] Those nonorthogonal bases which can be approximately "complete" by a large number of basis functions are more frequently used in the atomic and molecular structure calculations. In the framework of configuration interaction (CI) approach, the nonorthogonal basis set can be constructed by the Slater-type orbitals (STOs), [10][11][12][13][14] the Gaussian-type orbitals, [15,16] the Coulomb Sturmian functions [17][18][19] as well as the explicitly correlated Hylleraas-like basis functions. [1][2][3][4][5][6][20][21][22][23][24] In numerical calculations where the arithmetics are performed in limited precision, the linearly dependent problem arises eventually when the number of nonorthogonal basis functions is increasingly large in solving the generalized eigenvalue problem.…”

Section: Introductionmentioning

confidence: 99%

Application of Löwdin's canonical orthogonalization method to the Slater-type orbital configuration-interaction basis set

Jiao

2015

Int. J. Quantum Chem.

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We apply Löwdin's canonical orthogonalization method to investigate the linearly dependent problem arising from the variational calculation of atomic systems using Slater‐type orbital configuration‐interaction (STO‐CI) basis functions. With a specific arithmetic precision used in numerical computations, the nonorthogonal STO‐CI basis is easily linearly dependent when the number of basis functions is sufficiently large. We show that Löwdin's canonical orthogonalization method can successfully overcome such problem and simultaneously reduce the dimension of basis set. This is illustrated first through an S‐wave model He atom, and then the real two‐electron atoms in both the ground and excited states. In all of these calculations, the variational bound state energies of the two‐electron systems are obtained in reasonably high accuracy using over‐redundant STO‐CI bases, however, without using extended high‐precision technique. © 2015 Wiley Periodicals, Inc.

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Complex-scaling calculations for resonance states of he with screened coulomb potentials

Cited by 21 publications

References 60 publications

Spectra of electron pair under harmonic and Debye potential

Spectra of electron pair under harmonic and Debye potential

Energies and transition wavelengths for two-electron atoms under Debye screening

Application of Löwdin's canonical orthogonalization method to the Slater-type orbital configuration-interaction basis set

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