Energy Levels and Atomic Lifetimes of Rydberg States in Neutral Indium

Yi̇ldi̇z, M.

doi:10.12693/aphyspola.123.25

Cited by 8 publications

(11 citation statements)

References 10 publications

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“…The WBEPMT and QDO theory, which can be used to calculate the lifetimes for both highly excited states and low-lying states without any increase in complexity in calculation process have a simple calculation procedure. Previously, much spectroscopic data, such as transition probabilities, oscillator strengths, lifetimes of excited levels, and ionization energies were obtained by using the WBEPMT and QDO theory in many-electron atomic and ionic systems [21][22][23][24][25][26][27]. The semiempirical methods, such as the WBEPMT and QDO theory, where one or more parameters needs to be adjusted according to the existing accurate data can be considered as a useful method for much more complicated systems, especially for highly excited states.…”

Section: Resultsmentioning

confidence: 99%

Lifetimes for singly ionized nitrogen

Yi̇ldi̇z

Gökçe

2014

Can. J. Phys.

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The lifetimes of some excited levels for singly ionized nitrogen are calculated by using the weakest bound electron potential model theory and quantum defect orbital theory. We determined expectation values of radii using numerical nonrelativistic Hartree-Fock wave functions. The necessary energy values have been taken from NIST. The present results have been compared with previous calculations and experiments. Most of the lifetime results are presented for the first time in the present work. For N II, because there are few lifetime results available in the literature, the present study compared to existing investigations, provides detailed results for the lifetimes of several of the excited 2s 2 2pns, 2s 2 2pnp, and 2s 2 2pd ¡ 2s 2 2p 2 where, n = 3-6 for the ns series, n = 3-5 for the nd series and n = 3-4 for the np series.Résumé : Nous calculons les temps de vie de certains niveaux excités de l'azote ionisé une fois, en utilisant la théorie du potentiel de l'électron le moins lié et la théorie d'orbitale à défaut quantique. Nous déterminons les valeurs moyennes des rayons, en utilisant les fonctions d'onde numériques de Hartree-Fock non relativiste. Les valeurs d'énergie requises sont celles du NIST. Nous comparons nos résultats avec des résultats de calculs antérieurs et avec des résultats expérimentaux. La plupart des temps de vie présentés sont publiés pour la première fois. Puisqu'il y a peu de résultats disponibles pour N II dans la littérature, ce travail, comparé à d'autres études, fournit des résultats détaillés pour les temps de vie des états excités 2s 2 2pns, 2s 2 2pnp et 2s 2 2pd ¡ 2s 2 2p 2 , où n = 3-6 pour les séries ns, n = 3-5 pour les séries nd et n = 3-4 pour les séries np.[Traduit par la Rédaction]

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Section: Resultsmentioning

confidence: 99%

Lifetimes for singly ionized nitrogen

Yi̇ldi̇z

Gökçe

2014

Can. J. Phys.

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“…During the last years the energy spectrum of atoms have been studied by several analytic methods, for example: Laplace integral transform, factorization method, proper quantization rule, exact quantization rule, Nikiforov-Uvarov method, supersymmetry quantum mechanics for solving the non-relativistic Schrödinger with central and non-central potentials for describing atoms, nuclei, etc [1][2][3][4][5][6][7][8][9]. In particular the Kratzer potential (known also by inverse power potential) has well accounted for some observed phenomena in atomic, molecular and chemical physics, in addition to study the Shannon entropy [10], this potential studied in two dimensional spaces by the author Shi-Hai Dong et al [11] and by Süleyman Özcelik and Mehmet Simsek in three dimensional space [12].…”

Section: Introductionmentioning

confidence: 99%

New Non-relativistic Bound States Solutions for Modified Kratzer Potential in One-electron Atoms

Maireche¹

2017

J. Nano- Electron. Phys.

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In this study, three-dimensional modified time-independent Schrödinger equation of modified Kratzer potential was solved using Bopp's shift method instead to apply star product, in the framework of both noncommutativity three dimensional real space and phase (NC: 3D-RSP). We have obtained the explicit energy eigenvalues for ground and first excited states for interactions in one-electron atoms. Furthermore, the obtained corrections of energies are depended on infinitesimal parameters   ,   and   ,  which are induced by position-position and momentum-momentum noncommutativity, respectively, in addition to the discreet atomic quantum numbers (j  l ± 1/2, s  1/2, l and m). We have also shown that, the usual states in ordinary three dimensional spaces for ordinary Kratzer potential are canceled and have been replaced by new degenerated 2(2l + 1) sub-states in the extended new quantum mechanics.

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“…[1][2][3]. In particular, the modified Kratzer-type potential (MKP) have the general features of the true interaction energy, inter atomic and dynamical properties in solid-state physics and play an important role in the history of molecular structures molecular physics ( 2 N , CO , NO , CH ,… ) and interactions [4][5][6], in addition, this potential offered one of the most important exactly models of atomic and molecular physics and quantum chemistry.…”

Section: Introductionmentioning

confidence: 99%

Effects of Two-Dimensional Noncommutative Theories on Bound States Schrödinger Diatomic Molecules under New Modified Kratzer-Type Interactions

Maireche

2017

ILCPA

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Abstract. In this work, an analytical expression for the nonrelativistic energy spectrum of some diatomic molecules was obtained through the Bopp's shift method in the noncommutative (NC) two-dimensional real space-phase symmetries (NC: 2D-RSP) with a new modified Kratzer-type potential (NMKP) in the framework of two infinitesimal parameters θ and θ due to (space-phase) noncommutativity, by means of the solution of the noncommutative Schrödinger equation. The perturbation property of the spin-orbital Hamiltonian operator and new Zeeman effect of twodimensional system are investigated. We have shown that, the new energy of diatomic molecule is the sum of ordinary energy of modified Kratzer-type potential, in commutative space, and new additive terms due to the contribution of the additive part of the NMKP. We have shown also that, the group symmetry of (NC: 2D-RSP) reduce to new sub-group symmetry of NC two-dimensional real space (NC: 2D-RSP) under new modified Kratzer-type interactions.

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Energy Levels and Atomic Lifetimes of Rydberg States in Neutral Indium

Abstract: Atomic lifetimes and energy levels were calculated using weakest bound potential model theory for 5s 2 ns 2 S 1/2 (n ≥ 6), 5s

Cited by 8 publications

References 10 publications

Lifetimes for singly ionized nitrogen

Lifetimes for singly ionized nitrogen

New Non-relativistic Bound States Solutions for Modified Kratzer Potential in One-electron Atoms

Effects of Two-Dimensional Noncommutative Theories on Bound States Schrödinger Diatomic Molecules under New Modified Kratzer-Type Interactions

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