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

• Published in: Annals of physics Vol. 355; pp. 48 - 54
• Main Authors: Bakke, K., Furtado, C.
• Format: Journal Article
• Language: English
• Published: New York Elsevier Inc 01.04.2015; Elsevier BV
• Subjects: Biconfluent Heun equation; BOUND STATE; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Coulomb-type potential; KLEIN-GORDON EQUATION; Klein–Gordon oscillator; MATHEMATICAL SOLUTIONS; OSCILLATORS; QUANTUM NUMBERS; Quantum physics; Relativistic bound states; RELATIVISTIC RANGE; Theoretical mathematics; Klein–Gordon oscillator; Biconfluent Heun equation; Coulomb-type potential; Relativistic bound states
• ISSN: 0003-4916; 1096-035X
• DOI: 10.1016/j.aop.2015.01.028

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. •Interaction between the Klein–Gordon oscillator and a modified mass term.•Relativistic bound states for both attractive and repulsive Coulomb-type potentials.•Dependence of the Klein–Gordon oscillator frequency on the quantum numbers.•Relativistic analogue of a position-dependent mass system.