2014
DOI: 10.1140/epjp/i2014-14001-y
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Bound states of spatially dependent mass Dirac equation with the Eckart potential including Coulomb tensor interaction

Abstract: We investigate the approximate solutions of the Dirac equation with the position-dependent mass particle in the Eckart potential field including the Coulomb tensor interaction by using the parametric Nikiforov-Uvarov method. Taking an appropriate approximation to deal with the centrifugal term, the Dirac energy states and the corresponding normalized two-spinor components of the wave function are obtained in closed form. Some special cases of our solution are investigated. Further, we present the correct solut… Show more

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Cited by 86 publications
(8 citation statements)
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“…(3) By applying parametric Nikiforov-Uvarov method [22,[25][26][27][28] the energy Eigen-value formula can be written as (4) The ground state and excited state energy of 9 Be, 9 B, 13 C, 13 N, 17 O, 17 F, 21 Ne, and 21 Na isotopes are compared with experimental results in Table 1.…”
Section: The Ground State and Excited State Energy Of Isotopesmentioning
confidence: 99%
“…(3) By applying parametric Nikiforov-Uvarov method [22,[25][26][27][28] the energy Eigen-value formula can be written as (4) The ground state and excited state energy of 9 Be, 9 B, 13 C, 13 N, 17 O, 17 F, 21 Ne, and 21 Na isotopes are compared with experimental results in Table 1.…”
Section: The Ground State and Excited State Energy Of Isotopesmentioning
confidence: 99%
“…( 16), is among the most applicable and useful potentials for investigations about scattering parameters and bound states [27][28][29][30][31][32][33]. It has been used for calculations of chemical reaction rates [27], in studies about spin-orbit coupling [28] and bound states solutions for Dirac equation [29], in the determination of thermodynamic properties of diatomic molecules systems [30], supersymmetric quantum mechanics [31], nuclear interactions [32], and quantum tunneling through graphene nanomeshes [33]. Since, we have adopted atomic units, the coefficient β has unit of inverse of the Bohr radius.…”
Section: B Particle Subjected To the Eckart Potentialmentioning
confidence: 99%
“…[19]). All these considerations have fostered an intense research activity in the field of relativistic quantum mechanics with PDM [16,[20][21][22][23][24][25][26][27][28][29][30][31] Alhaidari [20] has obtained a solution of the Dirac equation in three dimensions with the Coulomb potential in the case of spherically symmetric singular mass distribution. The authors of Ref.…”
Section: Introductionmentioning
confidence: 99%