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Open Quantum Systems Decoherence Quantum Simulation

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

arXiv

Authors: Djamil Bouaziz

Year

2013

Paper ID

31694

Status

Preprint

Abstract Read

~2 min

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Abstract

We study the Klein-Gordon equation for Coulomb potential, V(r)=-Ze²/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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We study the Klein-Gordon equation for Coulomb potential, V(r)=-Ze^2/r, in quantum mechanics with a minimal length.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1311.7405 [2] arXiv https://arxiv.org/abs/1311.7405 [3] Publisher https://arxiv.org/abs/1311.7405

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