Applications of the Klein-Gordon equation in the Feshbach-Villars representation in the non-inertial cosmic string space-time. (English) Zbl 1535.81108
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.
MSC:
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 83F05 | Relativistic cosmology |
| 83E30 | String and superstring theories in gravitational theory |
| 06D22 | Frames, locales |
| 30C45 | Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) |
| 57R67 | Surgery obstructions, Wall groups |
| 78A35 | Motion of charged particles |
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