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Open Quantum Systems Decoherence Quantum Simulation

Bound-State Solutions of Dirac Equation for Kratzer Potential with Pseudoscalar-Coulomb Term

arXiv
Authors: Altug Arda, Ramazan Sever

Year

2018

Paper ID

23128

Status

Preprint

Abstract Read

~2 min

Abstract Words

97

Citations

N/A

Abstract

We present exact analytical solutions of the Dirac equation in (1+1)-dimensions for the generalized Kratzer potential by taking the pseudoscalar interaction term as an attractive Coulomb potential. We study the problem for a particular (spin) symmetry of the Dirac Hamiltonian. After a qualitative analyse, we study the results for some special cases such as Dirac-Coulomb problem in the existence of the pseudoscalar interaction, and the "pure" Coulomb problem by discussing some points about pseudospin and spin symmetries in one dimension. We also plot some figures representing the dependence of the energy on quantum number, and potential parameters.

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  • We present exact analytical solutions of the Dirac equation in (1+1)-dimensions for the generalized Kratzer potential by taking the pseudoscalar interaction term as an...

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