Missing solution in a relativistic Killingbeck potential

2016/12/05 by Castro, Luis B., Obispo, Angel E.
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.1612.01559

Abstract

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.

Related

• On Solutions of the Killingbeck Potential and Clarifying Comments on a Related Analytical Approach
• Fermion pair production in planar Coulomb and Aharonov--Bohm potentials
• Solution of Dirac Equation for Charged and Neutral Fermions with Anomalous Magnetic Moments in Uniform Magnetic Field
• Analysis of the Dirac equation with the Killingbeck potential in non-commutative space
• Dirac Equation in the Presence of Hartmann and Ring-Shaped Oscillator\n Potentials