• Corpus ID: 252545141

Point-Like Defect on Schr\"{o}dinger Particles Confined by AB-Flux Field With Harmonic Oscillator Plus Mie-type Potential : Application to Diatomic Molecules

@inproceedings{Ahmed2022PointLikeDO,
  title={Point-Like Defect on Schr\"\{o\}dinger Particles Confined by AB-Flux Field With Harmonic Oscillator Plus Mie-type Potential : Application to Diatomic Molecules},
  author={Faizuddin Ahmed},
  year={2022}
}

• F. Ahmed
• Published 24 September 2022
• Physics

: In this analysis, we study a non-relativistic Schrodinger particle confined by the Aharonov-Bohm (AB) flux field with a harmonic oscillator plus Mie-type potential in a conical singularity space-time background via point-like global monopole (PGM) taking into account the effects of background curvature produced by the geometry. We determine the eigenvalue solution analytically and discuss the effects of the topological defects, the background curvature associated with the topological defects, and the magnetic flux field with this potential. This eigenvalue solution is then utilised in some diatomic molecular potential models (harmonic oscillator plus Kratzer potential, harmonic oscillator plus modified Kratzer potential, and harmonic oscillator plus attractive Coulomb potential) and analyzes the effects on the energy levels and the radial wave function. Afterwards, we consider a general potential form which is the superposition of pseudoharmonic plus Cornell-type potential (or harmonic oscillator with Cornell-type plus inverse quadratic potential) in the quantum system and analyze the effects of various factors on the eigenvalue solution. We see that the eigenvalue solutions get shifted due to the topological defects and the magnetic flux field in comparison to flat space results with these potentials.