Approximate eigensolutions of the attractive potential via parametric Nikiforov-Uvarov method

Onate, C. A.; Adebimpe, Olukayode; Lukman, Adewale F.; Adama, Ibrahim Joseph; Okoro, J. O.; Davids, E.O.

doi:10.1016/j.heliyon.2018.e00977

Cited by 22 publications

(5 citation statements)

References 30 publications

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“…Following the work of these authors, the condition for eigenvalues equation and wave functions respectively, are given by 24 , 26 – 29 where are Jacobi polynomials. The parametric constants in Eqs.…”

Section: Bound State Solutions Of the Schrödinger Equation With Molecmentioning

confidence: 99%

Ro-vibrational energies of cesium dimer and lithium dimer with molecular attractive potential

Onate

Akanbi

Okon

2021

Sci Rep

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An 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–Klein–Rees (RKR) of cesium dimer and lithium dimer were both obtained and compared with the experimental values. The RKR values of both cesium dimer and lithium dimer calculated aligned with the observed values. The deviation and average deviation of the RKR for each molecule were also calculated.

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Section: Bound State Solutions Of the Schrödinger Equation With Molecmentioning

confidence: 99%

Ro-vibrational energies of cesium dimer and lithium dimer with molecular attractive potential

Onate

Akanbi

Okon

2021

Sci Rep

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“…Potentials are important to explain interactions among atomic nuclei, nuclear particles, and diatomic molecular structures. Various potentials are used in literature like pseudoharmonics [12], modified Eckart plus Hylleraas [13], Morse type [14], Wood-Saxon [15], Rosen-Morse [16], harmonic oscillator [17], especially at lower sizes and the method includes Nikiforov-Uvarov method [18,19,20], asymptotic iterative method [21], Point-Cannonical transform [22], Lie algebraic method [23], supersymmetry method [24], Laplace transform methods [25,26], factorization method [27] and others.…”

Section: Introductionmentioning

confidence: 99%

Analytical Solutions of the D-dimensional Klein-Gordon equation with q-deformed modified P¨oschl-Teller Potential

Biswas

2024

Electron. J. Appl. Math.

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In this article, the D-dimensional Klein-Gordon equation within the framework of Greene-Aldrich approximations scheme for q-deformed modified P¨oschl-Teller Potential is solved for s-wave and arbitrary angular momenta. The energy eigenvalues and corresponding wave functions are obtained in an exact analytical manner via the Nikiforov-Uvarov (N-U) method. Further, it is shown that in the non-relativistic limit, the energy eigenvalues reduce to that of Schrodinger equations for the potential. It is also shown that, the obtained results lead to the solutions of the same problem for modified P¨oschl-Teller potential for \(q = 1\).

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“…The analytical solution of the Schrödinger equation with ℓ = 0 and ℓ ≠ 0 for some potentials has been addressed by many researchers in non-relativistic and relativistic quantum mechanics for bound states (Durmus and Yasuk, 2007;Edet et al, 2020d;2021b;Louis et al, 2018a;. Some of these potentials include Deng-Fan potential (Falaye et al, 2015), Hyperbolic potential (Onate et al, 2018b), Eckart potential (Onate et al, 2017), generalized trigonometric Pöschl-Teller potential (Edet et al, 2020e), and screened Kratzer Potential (Ikot et al, 2020a).…”

Section: Introductionmentioning

confidence: 99%

Effect of the deformation parameter on the nonrelativistic energy spectra of the q-deformed Hulthen-quadratic exponential-type potential

et al. 2021

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In this study, an approximate solution of the Schr�dinger equation for the q-deformed Hulthen-quadratic exponential-type potential model within the framework of the Nikiforov�Uvarov method was obtained. The bound state energy equation and the corresponding eigenfunction was obtained. The energy spectrum is applied to study H2, HCl, CO and LiH diatomic molecules. The effect of the deformation parameters and other potential parameters on the energy spectra of the system were graphically and numerically analyzed in detail. Special cases were considered when the potential parameters were altered, resulting in deformed Hulthen potential, Hulthen potential, deformed quadratic exponential-type potential and quadratic exponential-type potential. The energy eigenvalues expressions agreed with what obtained in literature. Finally, the results can find many applications in quantum chemistry, atomic and molecular physics.

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Approximate eigensolutions of the attractive potential via parametric Nikiforov-Uvarov method

Cited by 22 publications

References 30 publications

Ro-vibrational energies of cesium dimer and lithium dimer with molecular attractive potential

Ro-vibrational energies of cesium dimer and lithium dimer with molecular attractive potential

Analytical Solutions of the D-dimensional Klein-Gordon equation with q-deformed modified P¨oschl-Teller Potential

Effect of the deformation parameter on the nonrelativistic energy spectra of the q-deformed Hulthen-quadratic exponential-type potential

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