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arXiv · 1311.7405

Klein-Gordon Equation with Coulomb Potential in the Presence of a Minimal Length

Djamil Bouaziz
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Abstract

We study the Klein-Gordon equation for Coulomb potential, V(r)=(-Ze^{2})/r, in quantum mechanics with a minimal length. The zero energy solution is obtained analytically in momentum space in terms of Heun's functions. The asymptotic behavior of the solution shows that the presence of a minimal length regularize the potential in the strong attractive regime, Z>68. The equation with nonzero energy is established in a particular case in the first order of the deformation parameter; it is a generalized Heun's equation.

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Djamil Bouaziz. 2013-11-28. Klein-Gordon Equation with Coulomb Potential in the Presence of a Minimal Length. https://arxiv.org/abs/1311.7405

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