Applications of the Klein–Gordon equation in the Feshbach–Villars representation in the non-inertial cosmic string space–time

We study the relativistic quantum motion of a spinless particle using the Feshbach–Villars (FV) formalism in the spinning cosmic string spacetime. The equations of motion are derived using the first-order FV formulation of the Klein–Gordon (KG) equation. We apply the equation of motion (a) to study...

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Bibliographic Details
Published in:Annals of physics 2023-11, Vol.458, p.169479, Article 169479
Main Authors: Bouzenada, Abdelmalek, Boumali, Abdelmalek, Silva, Edilberto O.
Format: Article
Language:English
Subjects:
Cosmic string
Feshbach–Villars representation
Klein–Gordon equation
Rotating frame
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Summary:We study the relativistic quantum motion of a spinless particle using the Feshbach–Villars (FV) formalism in the spinning cosmic string spacetime. The equations of motion are derived using the first-order FV formulation of the Klein–Gordon (KG) equation. We apply the equation of motion (a) to study the motion of the particle confined to a rigid-wall potential, (b) motion in the presence of a Coulomb-type potential, and (c) particle interacting with the Feshbach–Villars oscillator (FVO). The energy levels and wave functions are obtained for the three cases. Our study focused on the impact of rotation and curvature on the energy levels of the particle. •Feshbach–Villars formalism.•General Feshbach–Villars transformation (GFVT).•Feshbach–Villars oscillator.•Topological defects.•Cosmic string.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2023.169479