Bound state solutions of the Deng–Fan molecular potential with the Pekeris-type approximation using the Nikiforov–Uvarov (N–U) method

Oyewumi, K. J.; Oluwadare, O. J.; Sen, K. D.; Babalola, O. A.

doi:10.1007/s10910-012-0123-6

Cited by 61 publications

(60 citation statements)

References 47 publications

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“…where σ(z) and σ(z) are polynomials, at most second degree, and τ (z) is a polynomial of first degree [31,39,40,51,57,73,74,93,98,99,102,104,103,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122].…”

Section: Appendix a The Nikiforov-uvarov Methodsmentioning

confidence: 99%

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Solutions of the Dirac Equation With the Shifted Deng–fan Potential Including Yukawa-Like Tensor Interaction

Yahya

Falaye

Oluwadare

et al. 2013

Int. J. Mod. Phys. E

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By using the Nikiforov-Uvarov method, we give the approximate analytical solutions of the Dirac equation with the shifted Deng-Fan potential including the Yukawa-like tensor interaction under the spin and pseudospin symmetry conditions. After using an improved approximation scheme, we solved the resulting schrödinger-like equation analytically. Numerical results of the energy eigenvalues are also obtained, as expected, the tensor interaction removes degeneracies between spin and pseudospin doublets.

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Section: Appendix a The Nikiforov-uvarov Methodsmentioning

confidence: 99%

“…This potential has been widely studied by some researchers in various applications [65,66,67,68,69,70,71,72,73,74,75]. This potential model can be used to describe the motion of the nucleons in the mean field produced by the interactions between nuclei [65].…”

Section: Introductionmentioning

confidence: 99%

Solutions of the Dirac Equation With the Shifted Deng–fan Potential Including Yukawa-Like Tensor Interaction

Yahya

Falaye

Oluwadare

et al. 2013

Int. J. Mod. Phys. E

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“…that results, by linearization [20], from (7) and from the truncated normalization condition N n=−M |c n | 2 = 1.…”

Section: Appendixmentioning

confidence: 99%

Exact solution of the Schrödinger equation with a Lennard–Jones potential

Sesma

2013

J Math Chem

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The Schrödinger equation with a Lennard-Jones potential is solved by using a procedure that treats in a rigorous way the irregular singularities at the origin and at infinity. Global solutions are obtained thanks to the computation of the connection factors between Floquet and Thomé solutions. The energies of the bound states result as zeros of a function defined by a convergent series whose successive terms are calculated by means of recurrence relations. The procedure gives also the wave functions expressed either as a linear combination of two Laurent expansions, at moderate distances, or as an asymptotic expansion, near the singular points. A table of the critical intensities of the potential, for which a new bound state (of zero energy) appears, is also given.

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“…This potential is also known as Deng-Fan molecular potential, DF, and it is a modification of the Morse potential. This potential has been a subject of numerous studies by researchers in various applications (Oyewumi et al, 2013), and can be used to describe the mobility of nucleons in the mean field produced from the interactions of the nuclei (Maghsoodi et al, 2012). In 2012, Hamzavi et al proposed a modified form of the DF called Shifted Deng-Fan potential, sDF (Hamzavi and Ikhdair, 2012).…”

Section: Introductionmentioning

confidence: 99%

Solutions to the Dirac Equation for Manning-Rosen Plus Shifted Deng-Fan Potential and Coulomb-Like Tensor Interaction Using Nikiforov-Uvarov Method

Louis¹,

Iserom²,

Odey³

et al. 2018

IJC

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We solve the Dirac equation for the Manning-Rosen plus shifted Deng-Fan potential including a Coulomb-like tensor potential with arbitrary spin–orbit coupling quantum number κ. In the framework of the spin and pseudospin (pspin) symmetry, we obtain the energy eigenvalue equation and the corresponding eigenfunctions in closed form by using the Nikiforov–Uvarov method. Also Special cases of the potential as been considered and their energy eigen values as well as their corresponding eigen functions are obtained for both relativistic and non-relativistic scope.

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Bound state solutions of the Deng–Fan molecular potential with the Pekeris-type approximation using the Nikiforov–Uvarov (N–U) method

Cited by 61 publications

References 47 publications

Solutions of the Dirac Equation With the Shifted Deng–fan Potential Including Yukawa-Like Tensor Interaction

Solutions of the Dirac Equation With the Shifted Deng–fan Potential Including Yukawa-Like Tensor Interaction

Exact solution of the Schrödinger equation with a Lennard–Jones potential

Solutions to the Dirac Equation for Manning-Rosen Plus Shifted Deng-Fan Potential and Coulomb-Like Tensor Interaction Using Nikiforov-Uvarov Method

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