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Non-relativistic and relativistic equations for the Kratzer potential plus a dipole in 2D systems

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In this work, we study the wave equations in 2D Euclidian space for a new non-central potential consisting of a Kratzer term and a dipole term. For Schrodinger equation, we… Click to show full abstract

In this work, we study the wave equations in 2D Euclidian space for a new non-central potential consisting of a Kratzer term and a dipole term. For Schrodinger equation, we obtain the analytical expressions of the energies and the wave functions of the system. For Klein-Gordon and Dirac equations, we do the study in both spin and pseudo-spin symmetries to get the eigenfunctions and the eingenvalues. Then we study the dependence of energies on the radial moment D_{r} and the angular moment D_{theta}. We find that the D_{theta} term tends to dissociate the system, and thus counteracts the Coulomb binding effect, and that the D_{r} term can either amplify or decrease this effect according to its sign.

Keywords: equations kratzer; relativistic equations; term; kratzer potential; relativistic relativistic; non relativistic

Journal Title: Physica Scripta
Year Published: 2019

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