Dirac equation for the harmonic scalar and vector potentials and linear plus coulomb-like tensor potential; the SUSY approach

Zarrinkamar, S.; Rajabi, A. A.; Hassanabadi, H.

doi:10.1016/j.aop.2010.05.013

Cited by 101 publications

(47 citation statements)

References 37 publications

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“…Since we are dealing with a Schrödinger-like equation that we solved by means of SUSY QM [6,[32][33][34][35], the first step in the SUSY approach is finding the solution of the Riccati equation [6]. Using the shape invariance formalism, it can be easily seen that…”

Section: Bound State Solutionsmentioning

confidence: 99%

Eigensolutions of the Schrödinger equation with a class of Yukawa potentials via supersymmetric approach

Onate

Ojonubah

2015

J Theor Appl Phys

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Using the basic concept of the supersymmetric shape invariance approach and formalism, we obtained an approximate solution of the Schrödinger equation with an interaction of inversely quadratic Yukawa potential, Yukawa potential and Coulomb potential which we considered as a class of Yukawa potentials. By varying the potential strengths, we obtained a solution for Hellmann potential, Yukawa potential, Coulomb potential and inversely quadratic Yukawa potential. The numerical results we obtained show that the interaction of these potentials is equivalent to each of the potential.

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Section: Bound State Solutionsmentioning

confidence: 99%

Eigensolutions of the Schrödinger equation with a class of Yukawa potentials via supersymmetric approach

Onate

Ojonubah

2015

J Theor Appl Phys

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“…This is the vector-scalar SHO potential plus the tensor potential Cornell potential [38], which under appropriate conditions can describe particular cases like the harmonic oscillator plus a tensor linear potential [39], the harmonic oscillator plus a tensor Cornell potential [40]- [41], the SHO plus a tensor linear potential [42], the SHO [43]- [44], the tensor Cornell potential [45] and the Dirac oscillator [46]. The complete identification with the generalized Morse potential is done with the equalities…”

Section: The Sturm-liouville Problem Formentioning

confidence: 99%

Solutions of the three-dimensional radial Dirac equation from the Schrödinger equation with one-dimensional Morse potential

et al. 2017

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New exact analytical bound-state solutions of the radial Dirac equation in 3+1 dimensions for two sets of couplings and radial potential functions are obtained via mapping onto the nonrelativistic bound-state solutions of the onedimensional generalized Morse potential. The eigenfunctions are expressed in terms of generalized Laguerre polynomials, and the eigenenergies are expressed in terms of solutions of equations that can be transformed into polynomial equations. Several analytical results found in the literature, including the Dirac oscillator, are obtained as particular cases of this unified approach.

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“…In most of these investigations, Coulomb-like tensor interaction has been used, except in a few instances where linear plus Coulomb tensor interaction has been used [46,87]. Recently, another form of tensor interaction (Yukawa potential as a tensor interaction) has been introduced by Hassanabadi et al (2012) and Aydoǧdu et al (2013) [81,94].…”

Section: Introductionmentioning

confidence: 99%

“…Tensor couplings or interactions have been used successfully in the studies of nuclear properties and applications [8,9,10,25,28,29,30,31,32,40,46,51,52,53,54,55,57,58,59,60,63,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94].…”

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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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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Dirac equation for the harmonic scalar and vector potentials and linear plus coulomb-like tensor potential; the SUSY approach

Cited by 101 publications

References 37 publications

Eigensolutions of the Schrödinger equation with a class of Yukawa potentials via supersymmetric approach

Eigensolutions of the Schrödinger equation with a class of Yukawa potentials via supersymmetric approach

Solutions of the three-dimensional radial Dirac equation from the Schrödinger equation with one-dimensional Morse potential

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

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