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arxiv: 1612.01559 · v1 · pith:NSE5HJC4new · submitted 2016-12-05 · ✦ hep-th · math-ph· math.MP· quant-ph

Missing solution in a relativistic Killingbeck potential

classification ✦ hep-th math-phmath.MPquant-ph
keywords bound-statekillingbeckmissingpotentialsolutionsaharonov-bohmbackgroundcorrect
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Missing bound-state solutions for fermions in the background of a Killingbeck radial potential including an external magnetic and Aharonov-Bohm (AB) flux fields are examined. The correct quadratic form of the Dirac equation with vector and scalar couplings under the spin and pseudo-spin symmetries is showed and also we point out a misleading treatment in the literature regarding to bound-state solutions for this problem.

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