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We obtain the bound-state solutions of the radial Schr\"odinger equation (SE) with the shifted Deng-Fan (sDF) oscillator potential in the frame of the Nikiforov-Uvarov (NU) method and employing Pekeris-type approximation to deal with the…

量子物理 · 物理学 2013-01-04 Majid Hamzavi , Sameer M. Ikhdair , Karl-Erik Thylwe

In this study, we obtain the approximate analytical solutions of the radial Schr\"{o}dinger equation for the Deng-Fan diatomic molecular potential by using exact quantization rule approach. The wave functions have been expressed by…

化学物理 · 物理学 2015-04-09 Babatunde. J. Falaye , Sameer M. Ikhdair , Majid Hamzavi

Accurate solution of the Schr\"odinger equation with Deng-Fan potential is presented by means of Nikiforov-Uvarov method. A modified Pekeris-type approximation is proposed for the centrifugal term, from a linear combination of the $r \to 0$…

化学物理 · 物理学 2022-05-20 Debraj Nath , Amlan K. Roy

In this study, we obtain the approximate analytical solutions of the radial Schrodinger equation for the New Generalized Morse-Like Potential in arbitrary dimensions by using the Nikiforov Uvarov Method. Energy eigenvalues and corresponding…

量子物理 · 物理学 2020-12-07 C. M. Ekpo , Ephraim P. Inyang , P. O. Okoi , T. O. Magu , E. P. Agbo , K O Okorie , Etido P. Inyang

Within the framework of non-relativistic quantum mechanics, the ro-vibrational energy spectra of the improved deformed exponential-type potential model are obtained using the Greene-Aldrich approximation scheme and an appropriate coordinate…

化学物理 · 物理学 2020-01-15 Uduakobong S. Okorie , Akpan N. Ikot , Ephraim O. Chukwuocha

In this work, we investigate the quantum dynamics of a particle subject to the Morse potential within the framework of Dunkl quantum mechanics. By employing the Dunkl derivative operator, which introduces reflection symmetry, we construct a…

量子物理 · 物理学 2025-06-30 B. Hamil , B. C. Lütfüoğlu , A. N. Ikot , U. S. Okorie

We present exact analytical solutions for the radial Dunkl-Schr\"odinger equation (DSE) confined by the Deng-Fan molecular potential. By employing the Pekeris approximation to resolve the centrifugal singularity and applying the parametric…

数学物理 · 物理学 2026-01-19 Nikko John Leo S. Lobos

A solution of the fractional N-dimensional radial Schrodinger equation with the Deng-Fan potential is investigated by the generalized fractional NU method. The analytical formulas of energy eigenvalues and corresponding eigen functions for…

量子物理 · 物理学 2022-11-09 M. Abu-Shady , E. M. Khokha , T. A. Abdel-Karim

In this study, we apply the parametric Nikiforov-Uvarov method to obtain the bound state solution of Schrodinger wave equation in the presence of Kratzer plus generalized Morse potential (KPGM). The energy eigen equation and the…

Approximate analytical bound state solutions of the radial Schr\"odinger equation are studied for a two-term diatomic molecular potential in terms of the hypergeometric functions for the cases where $q\geq1$ and $q=0$. The energy…

数学物理 · 物理学 2012-07-10 Altug Arda , Ramazan Sever

We suggest a new deformed Schioberg-type potential for diatomic molecules. We show that it is equivalent to Tietz-Hua oscillator potential. We discuss how to relate our deformed Schi\"oberg potential to Morse, to Deng-Fan , to the improved…

数学物理 · 物理学 2015-05-25 Omar Mustafa

Bound-state spectra of shifted Deng-Fan oscillator potential are studied by means of a generalized pseudospectral method. Very accurate results are obtained for \emph{both low as well as high} states by a non-uniform optimal discretization…

化学物理 · 物理学 2014-09-09 Amlan K. Roy

Due to one of the most representative contributions to the energy in diatomic molecules being the vibrational, we consider the generalized Morse potential (GMP) as one of the typical potential of interaction for one-dimensional microscopic…

化学物理 · 物理学 2019-01-03 G. Valencia-Ortega , L. A. Arias-Hernandez

In this paper we use the Nikiforv-Uvarov method to obtain the approximate solutions of the Klein-Gordon equation with deformed five parameter exponential type potential (DFPEP) model. We also obtain the solutions of the Schr\"odinger…

量子物理 · 物理学 2017-01-05 A. N. Ikot , B. C. Lütfüoğlu , M. I. Ngwueke , M. E. Udoh , S. Zare , H. Hassanabadi

The approximate bound state solutions of the Schrodinger equation with shifted Deng-Fan potential was obtained via proper quantization rule. The energy spectra for the homogenous diatomic molecules (H2, I2); the heterogeneous diatomic…

量子物理 · 物理学 2018-06-04 O. J. Oluwadare , K. J. Oyewumi

In this work, the analytical solutions of the $D$-dimensional Schr\"odinger equation are studied in great detail for the Wood-Saxon potential by taking advantage of the Pekeris approximation. Within a novel improved scheme to surmount…

量子物理 · 物理学 2018-01-22 V. H. Badalov

Approximate analytical solutions of the Dirac equation are obtained for some diatomic molecular potentials plus a tensor interaction with spin and pseudospin symmetries with any angular momentum. We find the energy eigenvalue equations in…

量子物理 · 物理学 2015-06-12 Huseyin Akcay , Ramazan Sever

We apply the asymptotic iteration method (AIM) to obtain the solutions of Schrodinger equation in the presence of Poschl-Teller (PT) potential. We also obtain the solutions of Dirac equation for the same potential under the condition of…

量子物理 · 物理学 2015-06-16 Sameer M. Ikhdair , Babatunde J. Falaye

Spectroscopic techniques are very essential tools in studying electronic structures, spectroscopic constants and energetic properties of diatomic molecules. These techniques are also required for parametrization of new method based on…

化学物理 · 物理学 2015-04-15 Babatunde J. Falaye , Sameer M. Ikhdair , Majid Hamzavi

We show that the energetics and lifetimes of resonances of finite systems under an external electric field can be captured by Kohn--Sham density functional theory (DFT) within the formalism of uniform complex scaling. Properties of…

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