Abstract
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.
Highlights
IntroductionIn 1957, in an effort to find a suitable diatomic potential to describe the vibrational spectrum, Deng and Fan proposed a molecular exponential-type potential called Generalized Morse potential (Ikot et al, 2014)
In 1957, in an effort to find a suitable diatomic potential to describe the vibrational spectrum, Deng and Fan proposed a molecular exponential-type potential called Generalized Morse potential (Ikot et al, 2014). This potential is known as Deng-Fan molecular potential, DF, and it is a modification of the Morse potential
We reported the solution of the Dirac equation for the Manning-Rosen plus shifted Deng-Fan potential including a Yukawa-like tensor potential with arbitrary spin– orbit coupling quantum number κ where, in the framework of the spin and pseudospin symmetry, we obtained the energy eigenvalue equation and the corresponding eigenfunctions in closed form by using the Nikiforov–Uvarov http://ijc.ccsenet.org
Summary
In 1957, in an effort to find a suitable diatomic potential to describe the vibrational spectrum, Deng and Fan proposed a molecular exponential-type potential called Generalized Morse potential (Ikot et al, 2014). The manning-Rosen potential was put forward to delineate the appropriate properties of diatomic molecules (Sameer Ikhdair, 2011) This potential is classified under exactly solvable and has been intensely studied. Solutions of wave equations with certain physical potential are of great interest in quantum mechanics This is because the analysis makes the abstract understanding of the physical system and provides facts in affirming the impeccability of the quantum theory. We reported the solution of the Dirac equation for the Manning-Rosen plus shifted Deng-Fan potential including a Yukawa-like tensor potential with arbitrary spin– orbit coupling quantum number κ where, in the framework of the spin and pseudospin (pspin) symmetry, we obtained the energy eigenvalue equation and the corresponding eigenfunctions in closed form by using the Nikiforov–Uvarov http://ijc.ccsenet.org
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