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Journal articles on the topic 'Parametric Nikiforov-Uvarov method'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Sunarmi, Nani. "SIMULASI PENYELESAIAN TINGKAT ENERGI SISTEM MOLEKUL DALAM PENGARUH POTENSIAL KRATZER DENGAN METODE PARAMETRIK NIKIFOROV-UVAROV." ORBITA: Jurnal Kajian, Inovasi dan Aplikasi Pendidikan Fisika 8, no. 2 (2022): 383. http://dx.doi.org/10.31764/orbita.v8i2.11452.

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ABSTRAKTelah dilakukan kajian terhadap potensial Kratzer pada sistem molekul dengan menggunakan metode Parametrik Nikiforov-Uvarov. Penelitian bermaksud mendapatkan persamaan tingkat energi sistem dalam pengaruh potensial Kratzer dan melakukan simulasi terhadap persamaan tingkat energi tersebut untuk molekul oksigen, iodin, karbon monoksida, nitrogen monoksida. Penyelesaian tingkat energi sistem diperoleh dengan memisahkan persamaan Schrodinger sistem partikel menjadi 3 bagian yakni radial, zenithal dan azimuthal. Penyelesaian tingkat energi diperoleh dengan meninjau persamaan Schrodinger sist

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2

Nasrin, R. "Aspect Ratio Effect of Vertical Lid Driven Chamber Having a Centered Conducting Solid on Mixed Magnetoconvection." Journal of Scientific Research 3, no. 3 (2011): 501–13. http://dx.doi.org/10.3329/jsr.v3i3.7433.

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We study the relativistic equation of spin-1/2 particles under the hyperbolic potential and a Coulomb-like tensor potential. By using the generalized parametric of the Nikiforov-Uvarov method and the pseudo-spin symmetry, we obtain the energy eigenvalues equation and the corresponding unnormalized wave functions. Some numerical results are given, too.Keywords: Dirac equation; Tensor potential; Pseudo-spin symmetry; Nikiforov-Uvarov.© 2011 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserveddoi:10.3329/jsr.v3i3.8071 J. Sci. Res. 3 (3), 503-510 (2011)

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3

Eshghi, M. "Pseudo-spin Symmetry for Relativistic-Hyperbolic Problem and Tensor Potential." Journal of Scientific Research 3, no. 3 (2011): 493–500. http://dx.doi.org/10.3329/jsr.v3i3.8071.

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We study the relativistic equation of spin-1/2 particles under the hyperbolic potential and a Coulomb-like tensor potential. By using the generalized parametric of the Nikiforov-Uvarov method and the pseudo-spin symmetry, we obtain the energy eigenvalues equation and the corresponding unnormalized wave functions. Some numerical results are given, too.Keywords: Dirac equation; Tensor potential; Pseudo-spin symmetry; Nikiforov-Uvarov.© 2011 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserveddoi:10.3329/jsr.v3i3.8071 J. Sci. Res. 3 (3), 503-510 (2011

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4

Abu-Shady, M., and H. M. Fath-Allah. "The Parametric Generalized Fractional Nikiforov-Uvarov Method and Its Applications." East European Journal of Physics, no. 3 (September 4, 2023): 248–62. http://dx.doi.org/10.26565/2312-4334-2023-3-22.

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By using generalized fractional derivative, the parametric generalized fractional Nikiforov-Uvarov (NU) method is introduced. The second-order parametric generalized differential equation is exactly solved in the fractional form. The obtained results are applied on the extended Cornell potential, the pesudoharmonic potential, the Mie potential, the Kratzer-Fues potential, the harmonic oscillator potential, the Morse potential, the Woods-Saxon potential, the Hulthen potential, the deformed Rosen-Morse potential and the P schl-Teller potential which play an important role in the fields of molecu

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5

Onate, C. A., O. Adebimpe, A. F. Lukman, I. J. Adama, J. O. Okoro, and E. O. Davids. "Approximate eigensolutions of the attractive potential via parametric Nikiforov-Uvarov method." Heliyon 4, no. 11 (2018): e00977. http://dx.doi.org/10.1016/j.heliyon.2018.e00977.

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6

Mohammed, Imrana Habibat, Jibrin Alhaji Yabagi, Patrick Ovie Akusu, Ahmad Ubaidullah, Muhammad Bello Ladan, and Ndanusa Babakacha. "Bound state solution of schrodinger equation with modified Hylleraas plus inversely quadratic potential using parametric Nikiforov-Uvarov method." Journal of Physics: Theories and Applications 8, no. 1 (2024): 25. https://doi.org/10.20961/jphystheor-appl.v8i1.80582.

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In this work, an approximate bound state solution to Schrodinger equation with modified Hylleraas plus inversely quadratic potential was obtained using the parametric form of the Nikiforov-Uvarov method. Applying the elegant approximation to deal with the centrifugal term for arbitrary orbital angular quantum number, the energy spectrum and the corresponding wave function was obtained.

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7

Boumali, Abdelmalek, Lyazid Chetouani, and Hassan Hassanabadi. "Two-dimensional Duffin–Kemmer–Petiau oscillator under an external magnetic field." Canadian Journal of Physics 91, no. 1 (2013): 1–11. http://dx.doi.org/10.1139/cjp-2012-0167.

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The eigensolutions of massive spin-0 and spin-1 particles of a Dirac oscillator in an external magnetic field, both in the commutative and noncommutative space, are found by using the Duffin–Kemmer–Petiau equation. The solutions in both cases are obtained using the parametric generalization of the Nikiforov–Uvarov method.

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8

Rajabi, Ali Akbar, and Majid Hamzavi. "A new Coulomb ring-shaped potential via generalized parametric Nikiforov-Uvarov method." Journal of Theoretical and Applied Physics 7, no. 1 (2013): 17. http://dx.doi.org/10.1186/2251-7235-7-17.

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9

B., I. Ita, Louis H., I. Amos P., O. Magu T., and A. Nzeata-Ibe N. "Bound State Solutions of the Klein-Gordon Equation with Manning-Rosen Plus Yukawa Potential Using Pekeris-Like Approximation of the Coulomb Term and Parametric Nikiforov-Uvarov." Physical Science International Journal 15, no. 3 (2017): 1–6. https://doi.org/10.9734/PSIJ/2017/34330.

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The solutions of the klein-gordon equation with Manning-Rosen plus Yukawa potential (MRYP) has been presented using the Pekeris-like approximation of the coulomb term and parametric Nikiforov-Uvarov (NU) method. The bound state energy eigenvalues and the corresponding un-normalized eigen functions were obtained in terms of Jacobi polynomials. So also, Yukawa, Manning-Rosen and coulomb potentials have been recovered from the mixed potentials and their eigen values obtained.

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10

Inyang, E. P., B. I. Ita, and E. P. Inyang. "Relativistic Treatment of Quantum Mechanical Gravitational-Harmonic Oscillator Potential." European Journal of Applied Physics 3, no. 3 (2021): 42–47. http://dx.doi.org/10.24018/ejphysics.2021.3.3.83.

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The solutions of the Klein- Gordon equation for the quantum mechanical gravitational plus harmonic oscillator potential with equal scalar and vector potential have been presented using the parametric Nikiforov-Uvarov method. The energy eigenvalues were obtained in relativistic and non-relativistic regime and the corresponding un-normalized eigenfunctions in terms of Laguerre polynomials. The numerical values for the S – wave bound state were obtained.

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11

Aguda, Ekele V. "Solutions of the Dirac equation with an improved expression of the Rosen–Morse potential energy model including Coulomb-like tensor interaction." Canadian Journal of Physics 91, no. 9 (2013): 689–95. http://dx.doi.org/10.1139/cjp-2013-0109.

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In this study, we obtain the approximate analytical solutions of the Dirac equation for an improved expression of the Rosen–Morse potential energy model including the Coulomb-like tensor under the condition of spin and pseudospin symmetry. The analytical approach of parametric generalization of the Nikiforov–Uvarov method has been applied to the problem and the problem is discussed in a quite detailed manner.

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12

Eshghi, Mahdi. "Pseudo-spin Symmetry in Dirac-Four-Parameter Diatomic Problem Coupled with a Coulomb-like Tensor potential." BIBECHANA 8 (January 15, 2012): 23–30. http://dx.doi.org/10.3126/bibechana.v8i0.4879.

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In this work, we use the parametric generalization of the Nikiforov-Uvarov method to obtain the relativistic bound state energy spectrum and the corresponding spinor wave-functions for four-parameter diatomic potential coupled with a Coulomb-like tensor under the condition of the pseudo-spin symmetry. Also, some numerical results have given.Keywords: Dirac equation; four-parameter diatomic potential; Coulomb-like tensorDOI: http://dx.doi.org/10.3126/bibechana.v8i0.4879BIBECHANA 8 (2012) 23-30

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13

Ikot, Akpan N., Tamunoimi M. Abbey, Ephraim O. Chukwuocha, and Michael C. Onyeaju. "Solutions of the Schrödinger equation for pseudo-Coulomb potential plus a new improved ring-shaped potential in the cosmic string space–time." Canadian Journal of Physics 94, no. 5 (2016): 517–21. http://dx.doi.org/10.1139/cjp-2016-0066.

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In this paper, we obtain the bound state energy eigenvalues and the corresponding eigenfunctions of the Schrödinger equation for the pseudo-Coulomb potential plus a new improved ring-shaped potential within the framework of cosmic string space–time using the generalized parametric Nikiforov–Uvarov method. Our results are in good agreement with other works in the cosmic string space–time and reduced to those in the Minkowski space–time when α = 1.

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14

Ikhdair, Sameer M., and Majid Hamzavi. "Klein–Gordon Solutions for a Yukawa-like Potential." Zeitschrift für Naturforschung A 68, no. 12 (2013): 715–24. http://dx.doi.org/10.5560/zna.2013-0045.

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The Klein-Gordon equation for a recently proposed Yukawa-type potential is solved with any orbital quantum number l. In the equally mixed scalar-vector potential fields S(r) = ±V(r), the approximate energy eigenvalues and their wave functions for a particle and anti-particle are obtained by means of the parametric Nikiforov-Uvarov method. The non-relativistic solutions are also investigated. It is found that the present analytical results are in exact agreement with the previous ones.

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15

Eshghi, M., and H. Mehraban. "Eigen Spectra for q-Deformed Hyperbolic Scarf Potential Including a Coulomb-like Tensor Interaction." Journal of Scientific Research 3, no. 2 (2011): 239–47. http://dx.doi.org/10.3329/jsr.v3i2.7295.

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We study the Dirac equation for the q-deformed hyperbolic Scarf potential including a coulomb-like tensor potential under the spin symmetry. The parametric generalization of the Nikiforov-Uvarov method is used to obtain the energy eigenvalues equation and the unnormalized wave functins.Keywords: Dirac equation; q-deformed hyperbolic Scarf; Spin symmetry; Tensor coupling.© 2011 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.doi:10.3329/jsr.v3i2.7295 J. Sci. Res. 3 (2), 239-247 (2011)

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16

IKOT, AKPAN N., H. HASSANABADI, B. H. YAZARLOO та S. ZARRINKAMAR. "APPROXIMATE RELATIVISTIC κ-STATE SOLUTIONS TO THE DIRAC-HYPERBOLIC PROBLEM WITH GENERALIZED TENSOR INTERACTIONS". International Journal of Modern Physics E 22, № 07 (2013): 1350048. http://dx.doi.org/10.1142/s0218301313500481.

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In this paper, we present the approximate analytical solutions of the Dirac equation for hyperbolical potential within the frame work of spin and pseudospin symmetries limit including the newly proposed generalized tensor interaction (GTI) using the Nikiforov–Uvarov (NU) technique. We obtained the energy eigenvalues and the corresponding eigenfunction using the generalized parametric NU method. The numerical results of our work reveal that the presence of the GTI changes the degeneracy between the spin and pseudospin state doublets.

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17

Ita, Benedict, A. I. Ikeuba, and O. Obinna. "SOLUTIONS OF THE SCHRODINGER EQUATION WITH INVERSELY QUADRATIC YUKAWA PLUS WOODS-SAXON POTENTIAL USING NIKIFOROV-UVAROV METHOD." JOURNAL OF ADVANCES IN PHYSICS 8, no. 2 (2015): 2094–98. http://dx.doi.org/10.24297/jap.v8i2.1510.

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The solutions of the SchrÓ§dinger equation with inversely quadratic Yukawa plus Woods-Saxon potential (IQYWSP) have been presented using the parametric Nikiforov-Uvarov (NU) method. The bound state energy eigenvalues and the corresponding un-normalized eigen functions are obtained in terms of Jacobi polynomials. Also, a special case of the potential has been considered and its energy eigen values obtained. The result of the work could be applied to molecules moving under the influence of IQYWSP potential as negative energy eigenvalues obtained indicate a bound state system.

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18

Rajabi, Ali Akbar, and Majid Hamzavi. "Approximate Analytical Solutions of the Perturbed Yukawa Potential with Centrifugal Barrier." Zeitschrift für Naturforschung A 68, no. 6-7 (2013): 454–60. http://dx.doi.org/10.5560/zna.2013-0023.

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By using the generalized parametric Nikiforov-Uvarov (NU) method, we have obtained the approximate analytical solutions of the radial Schrödinger equation for a perturbed Yukawa potential. The energy eigenvalues and corresponding eigenfunctions are calculated in closed forms. Some numerical results are presented and compared with the standard Yukawa potential. Further, we found the energy levels of the familiar Mie-type potential when the screening parameter of the perturbed Yukawa potential goes to zero, and finally, standard Yukawa and Coulomb potentials are discussed.

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19

Binesh, Zari, Mohammad Reza Shojaei, and Behnam Azadegan. "Mirror nuclei of 9B and 9Be in the shell model and cluster model." Canadian Journal of Physics 98, no. 1 (2020): 28–31. http://dx.doi.org/10.1139/cjp-2018-0461.

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In this paper, we study the 9B and 9Be mirror nuclei with shell and cluster models. The modified Eckart plus Coulomb repulsive potentials are selected to describe the interaction between particles. By solving the Schrödinger equation, the exact solution of this equation is obtained by the parametric Nikiforov–Uvarov (PNU) method. The eigenvalues and wave function are calculated for 9B and 9Be. Our results are compared with experimental results, as well as results from other papers, and are in good agreement.

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20

Hamzavi, Majid, and Sameer M. Ikhdair. "Relativistic symmetries of fermions in the background of the inversely quadratic Yukawa potential with Yukawa potential as a tensor." Canadian Journal of Physics 92, no. 1 (2014): 51–58. http://dx.doi.org/10.1139/cjp-2013-0176.

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In the presence of spin and pseudo-spin symmetries, we obtain approximate analytical bound state solutions to the Dirac equation with scalar–vector inverse quadratic Yukawa potential including a Yukawa tensor interaction for any arbitrary spin–orbit quantum number, κ. The energy eigenvalues and their corresponding two-component spinor wave functions are obtained in closed form using the parametric Nikiforov–Uvarov method. It is noticed that the tensor interaction removes the degeneracy in the spin and p-spin doublets. Some numerical results are obtained for the lowest energy states within spin

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21

Yarou, Assimiou M., Daniel T. Sabi, Anselme F. Dossa, and Gabriel Y. H. Avossevou. "Exact Solution of the Dirac-Weyl Equation in Graphene under Magnetic Field Applied to Molecules." Journal of Materials Science Research 14, no. 1 (2025): 58. https://doi.org/10.5539/jmsr.v14n1p58.

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In this paper we obtained exact analytical solutions for the bound states of a Dirac electron in graphene with a magnetic field proportional to the Eckart plus Hulthen potential, and Rosen-Morse potential II plus Woods-Saxon. We used the parametric Nikiforov-Uvarov method to solve the time independent Dirac-Weyl equation. We also presented the energy spectra of HCl, ScH, ScN, and ScF molecules, and showed that some molecules can have energy and others not, or all can have energy or not, for the same given quantum number n.

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22

IKHDAIR, SAMEER M. "ROTATIONAL AND VIBRATIONAL DIATOMIC MOLECULE IN THE KLEIN–GORDON EQUATION WITH HYPERBOLIC SCALAR AND VECTOR POTENTIALS." International Journal of Modern Physics C 20, no. 10 (2009): 1563–82. http://dx.doi.org/10.1142/s0129183109014606.

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We present an approximate analytic solution of the Klein–Gordon equation in the presence of equal scalar and vector generalized deformed hyperbolic potential functions by means of parametric generalization of the Nikiforov–Uvarov method. We obtain the approximate bound-state rotational–vibrational (ro–vibrational) energy levels and the corresponding normalized wave functions expressed in terms of the Jacobi polynomial [Formula: see text], where μ > -1, ν > -1, and x ∈ [-1, +1] for a spin-zero particle in a closed form. Special cases are studied including the nonrelativistic solutions obt

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23

HAMZAVI, M., S. M. IKHDAIR, and K. E. THYLWE. "SPIN AND PSEUDOSPIN SYMMETRIES IN RELATIVISTIC TRIGONOMETRIC PÖSCHL–TELLER POTENTIAL WITH CENTRIFUGAL BARRIER." International Journal of Modern Physics E 21, no. 12 (2012): 1250097. http://dx.doi.org/10.1142/s0218301312500978.

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Approximate analytical solutions of the Dirac equation with the trigonometric Pöschl–Teller (tPT) potential are obtained for arbitrary spin-orbit quantum number κ using an approximation scheme to deal with the spin-orbit coupling terms κ(κ±1)r-2. In the presence of exact spin and pseudo-spin (p-spin) symmetric limitation, the bound state energy eigenvalues and the corresponding two-component wave functions of the Dirac particle moving in the field of attractive and repulsive tPT potential are obtained using the parametric generalization of the Nikiforov–Uvarov (NU) method. The case of nonrelat

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24

Tokmehdashi, Hadi, Ali Akbar Rajabi, and Majid Hamzavi. "Hulthén and Coulomb-Like Potentials as a Tensor Interaction within the Relativistic Symmetries of the Manning-Rosen Potential." Advances in High Energy Physics 2014 (2014): 1–14. http://dx.doi.org/10.1155/2014/870523.

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The bound-state solutions of the Dirac equation for the Manning-Rosen potential are presented approximately for arbitrary spin-orbit quantum numberκwith the Hulthén and Coulomb-like potentials as a tensor interaction. The generalized parametric Nikiforov-Uvarov (NU) method is used to obtain energy eigenvalues and corresponding two-component spinors of the two Dirac particles and these are obtained in the closed form by using the framework of the spin symmetry and p-spin symmetry concept. We have also shown that tensor interaction removes degeneracies between spin and p-spin doublets. Some nume

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25

Hamzavi, Majid, Sameer M. Ikhdair, and Ali Akbar Rajabi. "Spinless Particles Subject to Unequal Scalar-Vector Nuclear Woods– Saxon Potentials in Arbitrary Dimensions." Zeitschrift für Naturforschung A 68, no. 12 (2013): 759–65. http://dx.doi.org/10.5560/zna.2013-0066.

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We present analytical bound state solutions of the spin-zero particles in the Klein-Gordon (KG) equation in presence of an unequal mixture of scalar and vector Woods-Saxon potentials within the framework of the approximation scheme to the centrifugal potential term for any arbitrary l-state. The approximate energy eigenvalues and unnormalized wave functions are obtained in closed forms using a parametric Nikiforov-Uvarov (NU) method. Our numerical energy eigenvalues demonstrate the existence of inter-dimensional degeneracy amongst energy states of the KG-Woods-Saxon problem. The dependence of

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26

Manga, P. J., S. D. Buteh, Mohammed Maina, et al. "Solutions of Schrödinger equation based on Modified Exponential Screened Plus Yukawa Potential (MESPYP) within the frame of parametric Nikiforov-Uvarov method." Dutse Journal of Pure and Applied Sciences 9, no. 3b (2023): 144–54. http://dx.doi.org/10.4314/dujopas.v9i3b.16.

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In this paper, we deduced an approximate bound state solutions of Schrӧdinger equation based on Modified Exponential Screened Plus Yukawa Potential (MESPYP), with the help Greene–Aldrich Approximation to determine the centrifugal term. The analytical solution was obtained based on Nikiforov–Uvarov (NU) method. The bound state solutions of five diatomic molecules which are mercury hydride (HgH), zinc hydride (ZnH), cadmium hydride (CdH), hydrogen bromide (HBr) and hydrogen fluoride (HF) molecules were also calculated numerically. The estimated energy eigenvalues for these molecules were deduced

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Ikhdair, Sameer M., and Babatunde J. Falaye. "Two Approximate Analytic Eigensolutions of the Hellmann Potential with any Arbitrary Angular Momentum." Zeitschrift für Naturforschung A 68, no. 10-11 (2013): 701–8. http://dx.doi.org/10.5560/zna.2013-0054.

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The parametric Nikiforov-Uvarov (pNU) and asymptotic iteration method (AIM) are applied tostudy the approximate analytic bound state eigensolutions (energy levels and wave functions) of theradial Schr¨odinger equation (SE) for the Hellmann potential which represents the superposition ofthe attractive Coulomb potential (-a/r) and the Yukawa potential bexp(-δ/r)/r of arbitrary strengthb and screening parameter d in closed form. The analytical expressions to the energy eigenvalues Enlyield quite accurate results for a wide range of n; l in the limit of very weak screening but the resultsbecome gr

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28

Divshali, Keivan Darooyi, and Mohammad Reza Shojaei. "Nuclear structure properties of spin-1/2 heavy nuclei within the relativistic cluster model." International Journal of Modern Physics E 29, no. 05 (2020): 2050026. http://dx.doi.org/10.1142/s0218301320500263.

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[Formula: see text]C is a beta decay isotope, its beta decay is very slow reflecting the stability of this nucleus and emitted from medium and heavy mass nuclei. The [Formula: see text]C result is in excellent agreement with the favored ground-state-to-ground-state transition according to the cluster model of Blendowske et al. We study nuclear structure properties of spin-1/2 heavy nuclei in the relativistic core-cluster model, that its cluster is [Formula: see text]C. According to this model for spin-1/2 heavy nuclei and for obtaining its wave function, we solve the Dirac equation with the ne

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29

Mousavi, M., and M. R. Shojaei. "Mirror Nuclei of17O and17F in Relativistic and Nonrelativistic Shell Model." Advances in High Energy Physics 2017 (2017): 1–5. http://dx.doi.org/10.1155/2017/5841701.

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We have investigated energy levels mirror nuclei of the17O and17F in relativistic and nonrelativistic shell model. The nuclei17O and17F can be modeled as a doubly magic17O = n + (N = Z = 8) and17F = p + (N = Z = 8), with one additional nucleon (valence) in the ld5/2level. Then we have selected the quadratic Hellmann potential for interaction between core and single nucleon. Using Parametric Nikiforov-Uvarov method, we have calculated the energy levels and wave function in Dirac and Schrodinger equations for relativistic and nonrelativistic, respectively. Finally, we have computed the binding a

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Mousavi, Mohsen, and Mohammad Reza Shojaei. "Calculation energy levels and charge radius for odd 41–49Ca isotopes by using the analytical approach." Modern Physics Letters A 34, no. 09 (2019): 1950073. http://dx.doi.org/10.1142/s0217732319500731.

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In this study, some static properties of odd isotopes of Ca were investigated in the non-relativistic shell model. We also suggested a novel suitable local potential model for the non-microscopic investigation of the mentioned nuclei. We modeled the odd [Formula: see text]Ca nuclei as doubly-magic isotopes with further nucleons (valence) in the [Formula: see text] and [Formula: see text] levels. Then, the modified Eckart potential plus Hulthen potential were chosen for the interaction between core and nucleons. We also used the parametric Nikiforov–Uvarov method to calculate the values of ener

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31

Onate, C. A., and M. C. Onyeaju. "Dirac particles in the field of Frost-Musulin diatomic potential and the thermodynamic properties via parametric Nikiforov-Uvarov method." Sri Lankan Journal of Physics 17 (January 8, 2017): 1. http://dx.doi.org/10.4038/sljp.v17i0.8027.

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32

Oluwadare, O. J., E. O. Ilesanmi, T. O. Abiola, et al. "Investigating Some Diatomic Molecules Bounded by the Two-Dimensional Isotropic Oscillator plus Inverse Quadratic Potential in an External Magnetic Field." Advances in High Energy Physics 2022 (September 10, 2022): 1–14. http://dx.doi.org/10.1155/2022/6565048.

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We investigate the nonrelativistic magnetic effect on the energy spectra, expectation values of some quantum mechanical observables, and diamagnetic susceptibility for some diatomic molecules bounded by the isotropic oscillator plus inverse quadratic potential. The energy eigenvalues and normalized wave functions are obtained via the parametric Nikiforov-Uvarov method. The expectation values square of the position r 2 , square of the momentum p 2 , kinetic energy T , and potential energy V are obtained by applying the Hellmann-Feynman theorem, and an expression for the diamagnetic susceptibili

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33

Onate, Clement Atachegbe, Michael Chukwudi Onyeaju, and Ituen Bassey Okon. "Shannon entropy for Feinberg–Horodecki equation and thermal properties of improved Wei potential model." Open Physics 19, no. 1 (2021): 519–33. http://dx.doi.org/10.1515/phys-2021-0038.

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Abstract We solved a one-dimensional time-dependent Feinberg–Horodecki equation for an improved Wei molecular energy potential function using the parametric Nikiforov–Uvarov method. The quantized momentum and the corresponding wave functions were obtained. With the help of the wave functions obtained, we calculated Shannon entropy for both the position space and momentum space. The results were used to study four molecules. The results of Shannon entropy were found to be in excellent agreement with those found in the literature. For more usefulness of these studies, the quantized momentum obta

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34

Onate, C. A., L. S. Adebiyi, and D. T. Bankole. "Eigensolutions and theoretic quantities under the nonrelativistic wave equation." Journal of Theoretical and Computational Chemistry 19, no. 02 (2020): 2050007. http://dx.doi.org/10.1142/s0219633620500078.

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The radial Schrödinger equation was solved with the combination of three important potentials with [Formula: see text] as deformed parameter via the parametric Nikiforov–Uvarov method and the energy equation as well as the corresponding normalized radial wave function were obtained in close and compact form. The energy equation obtained was used to study eight molecules. The effect of the deformed parameter on energy eigenvalues was also studied numerically. The subset of the combined potential was also studied numerically and the results were found to be in agreement with the previous results

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35

Sabi Takou, Daniel, Assimiou M. Yarou, Guingarey Issoufou, Finagnon A. Dossa, and Gabriel Y. H. Avossevou. "EIGENSOLUTIONS AND THERMODYNAMIC PROPERTIES OF THEECKARTPLUSHULTHEN POTENTIALANDACLASSOF YUKAWA." International Journal of Advanced Research 13, no. 01 (2025): 331–41. https://doi.org/10.21474/ijar01/20198.

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In this paper, we present the bound-state solutions of the Schrodinger equation and analyze the thermodynamic properties of the Eckart plus Hulthen potential and a class of Yukawa potentials. The eigenvalues and eigenfunctions were determined using the Parametric Nikiforov-Uvarov Method (PNUM). The eigenenergies of HCl and ScH molecules were calculated for various values of n and. All calculated eigenenergies for these molecules are negative, unlike those in atomic units. For a given pair (n,), the energy of ScH is higher than that of HCl. Furthermore, for these molecules, at constant n, the e

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Parmar, Rajendrasinh H., and P. C. Vinodkumar. "Eigensolution of the Klein–Gordon equation for modified Yukawa–Kratzer potential and its applications using parametric Nikiforov–Uvarov and SUSYQM method." Journal of Mathematical Chemistry 59, no. 7 (2021): 1638–703. http://dx.doi.org/10.1007/s10910-021-01258-y.

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37

B.Okon, Itue, Oyebola Popoola, and Eno E.Ituen. "Bound State Solution to Schrodinger Equation with Hulthen Plus Exponential Coulombic Potential with Centrifugal Potential Barrier using Parametric Nikiforov-Uvarov Method." International Journal of Recent advances in Physics 5, no. 2 (2016): 1–15. http://dx.doi.org/10.14810/ijrap.2016.5101.

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38

Assimiou, Y. M., S. T. Daniel, G. Issoufou, D. F. Anselme, and G. Y. H. Avossevou. "Eigensolutions and thermodynamic properties of generalized hyperbolic Hulthen and Woods-Saxon potential." Condensed Matter Physics 27, no. 4 (2024): 43301. https://doi.org/10.5488/cmp.27.43301.

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In this paper, we present the solutions of the Schrödinger equation and the thermodynamic properties of generalized hyperbolic Hulthen and Woods-Saxon potential. The eigenvalues and eigenfunctions were found using the parametric Nikiforov-Uvarov method (PNUM). The clean energies of the molecules HCl, NiC, CO, I2, H2, LiH, CuLi and CrH are calculated for certain values of n and l. They are positive and close to the energy of the ground state (n = l = 0) in the case of the atomic unit (whose energies become negative for n = 2). The figures show that the proper energies decrease as n, l, α increa

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39

Abraham, I. S., I. B. Okon, A. D. Antia, A. O. Akankpo, C. N. Isonguyo, and E. E. Ituen. "Application of extended Cornell potential with spin-spin interaction to diatomic molecules and mass spectra of heavy mesons." World Journal of Applied Science & Technology 15, no. 2 (2024): 192–201. http://dx.doi.org/10.4314/wojast.v15i2.6.

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In this work, the study of mass spectra of mesons with extended Cornell potential coupled with spin-spin interaction has been carried out. This involves approximating the Gaussian function to harmonic term in radial Schrodinger wave equation with the help of Greene-Aldrich approximation to centrifugal term using parametric Nikiforov-Uvarov (NU) method. The addition of spin-spin interaction to the extended Cornell potential helped in determining the singlet (s = 0) and triplet (s = 1) state of mesons which cannot be determined with the absence of the spin. Using the minimization approach implem

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Okon, Ituen, Clement Onate, Ekwevugbe Omugbe, et al. "Approximate Solutions, Thermal Properties, and Superstatistics Solutions to Schrödinger Equation." Advances in High Energy Physics 2022 (March 7, 2022): 1–18. http://dx.doi.org/10.1155/2022/5178247.

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In this work, we apply the parametric Nikiforov-Uvarov method to obtain eigensolutions and total normalized wave function of Schrödinger equation expressed in terms of Jacobi polynomial using Coulomb plus Screened Exponential Hyperbolic Potential (CPSEHP), where we obtained the probability density plots for the proposed potential for various orbital angular quantum number, as well as some special cases (Hellmann and Yukawa potential). The proposed potential is best suitable for smaller values of the screening parameter α . The resulting energy eigenvalue is presented in a close form and extend

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Ortakaya, Sami. "Dirac equation with multiparameter-potential and Hulthén tensor interaction under relativistic symmetries." Open Physics 12, no. 12 (2014). http://dx.doi.org/10.2478/s11534-014-0521-4.

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AbstractThe pseudospin and spin symmetric solutions of the Dirac equation with Hulthén-type tensor interaction are obtained under multi-parameter-exponential potential (MEP) for arbitrary κ states. The energy eigenvalues and the corresponding eigenfunctions are also obtained using the parametric Nikiforov-Uvarov (NU) method. Some numerical results are also obtained for pseudospin and spin symmetry limits.

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Onate, C. A., M. O. Oluwayemi, and I. B. Okon. "Dirac Equation for Energy-Dependent Potential With Energy-dependent Tensor Interaction." Journal of the Nigerian Society of Physical Sciences, January 14, 2023, 917. http://dx.doi.org/10.46481/jnsps.2023.917.

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The relativistic symmetries of the Dirac equation were investigated with an energy-dependent tensor potential interaction for two different energy-dependent potentials under parametric Nikiforov-Uvarov method and supersymmetric quantum mechanics and shape-invariance method. It is observed that the energy-dependent tensor interaction has stronger removal effect of the energy degeneracies in both the spin and pseudospin symmetries than the non-energy-dependent tensor interaction.

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Ituen, .B.Okon, Popoola Oyebola, and .E. Ituen Eno. "Bound State Solution to Schrodinger Equation with Hulthen Plus Exponential Coulombic Potential with Centrifugal Potential Barrier using Parametric Nikiforov-Uvarov Method." May 31, 2016. https://doi.org/10.14810/ijrap.2016.5101.

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In this work, we obtained an approximate bound state solution to Schrodinger with Hulthen plus exponential Coulombic potential with centrifugal potential barrier using parametric Nikiforov-Uvarov method. We obtained both the eigen energy and the wave functions to non -relativistic wave equations. We implement Matlab algorithm to obtained the numerical bound state energies for various values of adjustable screening parameter at various quantum state.. The developed potential reduces to Hulthen potential and the numerical bound state energy conform to that of existing literature.

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Ituen, .B.Okon, Popoola Oyebola, and .E. Ituen Eno. "Bound State Solution to Schrodinger Equation with Hulthen Plus Exponential Coulombic Potential with Centrifugal Potential Barrier using Parametric Nikiforov-Uvarov Method." May 31, 2016. https://doi.org/10.5281/zenodo.1248525.

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<strong>Abstract:</strong> <strong>                </strong>In this work, we obtained an approximate bound state solution to Schrodinger with Hulthen plus exponential Coulombic potential with centrifugal potential barrier using parametric Nikiforov-Uvarov method. We obtained both the eigen energy and the wave functions to non -relativistic wave equations. We implement Matlab algorithm to obtained the numerical bound state energies for various values of adjustable screening parameter at various quantum state.. The develo

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li, xuechao, Yiming Duan, and Yongrui Ma. "The second harmonic generation in GaAs/GaAlAs spherical quantum dots under Woods-Saxon plus attractive inversely quadratic potential." Communications in Theoretical Physics, May 4, 2022. http://dx.doi.org/10.1088/1572-9494/ac6c7c.

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Abstract We examine the profile of second harmonic generation (SHG) for GaAs/GaAlAs spherical quantum dots (QDs) of Woods-Saxon (WS) plus attractive inversely quadratic (AIQ) potential under the joint influence of additional factors (pressure and temperature) and structural parameters (strengths and radius). The energies and wave functions in GaAs/GaAlAs spherical QDs under WS-AIQ limiting potential are calculated using parametric Nikiforov-Uvarov (NU) method. Depending on the calculated energies and corresponding wave functions, the SHG coefficient is examined by the iterative procedure in th

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Onate, C. A., I. B. Okon, M. C. Onyeaju, and O. Ebomwonyi. "Vibrational energies of some diatomic molecules for a modified and deformed potential." Scientific Reports 11, no. 1 (2021). http://dx.doi.org/10.1038/s41598-021-01998-6.

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AbstractA molecular potential model is proposed and the solutions of the radial Schrӧdinger equation in the presence of the proposed potential is obtained. The energy equation and its corresponding radial wave function are calculated using the powerful parametric Nikiforov–Uvarov method. The energies of cesium dimer for different quantum states were numerically obtained for both negative and positive values of the deformed and adjustable parameters. The results for sodium dimer and lithium dimer were calculated numerically using their respective spectroscopic parameters. The calculated values

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Isonguyo, Cecilia N., Ituen B. Okon, Akaninyene D. Antia, et al. "Eigensolutions and Thermodynamic Properties of Kratzer Plus Generalized Morse Potential." Frontiers in Physics 10 (July 22, 2022). http://dx.doi.org/10.3389/fphy.2022.962717.

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In this study, we apply the parametric Nikiforov-Uvarov method to obtain the bound state solution of Schrödinger wave equation in the presence of Kratzer plus generalized Morse potential (KPGM). The energy eigen equation and the corresponding normalised wave function were obtained in closed form. The resulting energy eigen equation was used to study partition function and other thermodynamic properties such as vibrational mean energy, vibrational specific heat capacity, vibrational mean free energy and vibrational entropy for the proposed potential as applied to lithium hydride diatomic molecu

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Ahmed, Faizuddin. "Effects of Lorentz Symmetry Breaking Environment on Generalized Relativistic Quantum Oscillator Field." Canadian Journal of Physics, December 13, 2022. http://dx.doi.org/10.1139/cjp-2022-0173.

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In this paper, we study the generalized Klein-Gordon oscillator equation under the effects of the violation of Lorentz Symmetry defined by a tensor field (KF)µναβ out of the Standard Model Extension (SME). We consider a possible scenario of the Lorentz-Violating effects with a Cornell-type electric field and a linear magnetic field that contributes a harmonic-type central potential in the relativistic quantum motions of scalar oscillator fields. The bound-states solutions of the wave equation using the parametric Nikiforov-Uvarov method by considering a Coulomband Cornell-type potential form f

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Onate, Clement A., Ituen B. Okon, Ekwevugbe Omugbe, et al. "Eigensolutions, virial theorem and molecular study of nonrelativistic Krazer‐Fues potential." International Journal of Quantum Chemistry, November 17, 2023. http://dx.doi.org/10.1002/qua.27286.

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AbstractA Kratzer‐Fues potential is coupled with its self to form a double Kratzer‐Fues potential. The solutions of the radial Schrödinger equation with the combined potential are obtained via two different methodologies. Using the supersymmetric approach, the energy equation for a non‐approximated centrifugal term is obtained. The energy equation for the approximated centrifugal term is obtained using the parametric Nikiforov‐Uvarov method. Numerical results are computed for five molecules using MATLAB software program. The computed numerical values are compared with the experimental values a

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Onate, C. A., T. A. Akanbi, and I. B. Okon. "Ro-vibrational energies of cesium dimer and lithium dimer with molecular attractive potential." Scientific Reports 11, no. 1 (2021). http://dx.doi.org/10.1038/s41598-021-85761-x.

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AbstractAn approximate solution of the Schrӧdinger equation for a molecular attractive potential was obtained using the parametric Nikiforov–Uvarov method. The energy equation and the corresponding radial wave functions were calculated. The effects of the potential parameters on the energy eigenvalues were examined. The thermal properties under the molecular attractive potential were calculated and the behaviour of the thermal properties with the maximum quantum state (λ) and the temperature parameter (β) respectively, were studied. Using the molecular spectroscopic parameters, the Rydberg–Kle

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