On the Klein-Gordon oscillator subject to a Coulomb-type potential

2014/11/25 by K. Bakke, C. Furtado · 2 citations
Physics and Astronomy · Mathematics · #quant-ph #math-ph #math.MP

paper · pdf · doi:10.1016/j.aop.2015.01.028

published as Annals of Physics (NY) 355, 48 (2015) · 11 pages, no figure

arxiv created 2014/11/25 · arxiv updated 2015/02/25

Abstract

By introducing the scalar potential as modification in the mass term of the Klein-Gordon equation, the influence of a Coulomb-type potential on the Klein-Gordon oscillator is investigated. Relativistic bound states solutions are achieved to both attractive and repulsive Coulomb-type potentials and the arising of a quantum effect characterized by the dependence of angular frequency of the Klein-Gordon oscillator on the quantum numbers of the system is shown.

Cited by

• Klein--Gordon and Dirac Oscillators with an Apparent Mass Induced by the Momentum-Space Dual of the Fock--Lorentz Transformations
• On a relativistic scalar particle subject to the Klein-Gordon oscillator, the Coulomb potential and a linear scalar potential

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