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- Title
Rotational and inverse-square potential effects on harmonic oscillator confined by flux field in a space–time with screw dislocation.
- Authors
Ahmed, Faizuddin; Aounallah, Houcine; Rudra, Prabir
- Abstract
This research paper delves into the study of a nonrelativistic quantum system, considering the interplay of noninertial effects induced by a rotating frame and confinement by the Aharonov–Bohm (AB) flux field with potential in the backdrop of topological defects, specifically a screw dislocation. We first focus on the harmonic oscillator problem, incorporating an inverse-square repulsive potential. Notably, it becomes evident that the energy eigenvalues and wave functions are intricately influenced by multiple factors: the topological defect parameter β (representing the screw dislocation), the presence of a rotating frame engaged in constant angular motion with speed Ω and the external potential. Then we study the quantum behavior of nonrelativistic particles, engaging in interactions governed by an inverse-square potential, all while taking into account the effects of the rotating frame. In both scenarios, a significant observation is made: the quantum flux field's existence brings about a shift in the energy spectrum. This phenomenon bears a resemblance to the electromagnetic Aharonov–Bohm effect.
- Subjects
SCREW dislocations; HARMONIC oscillators; TOPOLOGICAL defects (Physics); AHARONOV-Bohm effect; GEOMETRIC quantum phases; WAVE functions
- Publication
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2023, Vol 38, Issue 24, p1
- ISSN
0217-751X
- Publication type
Article
- DOI
10.1142/S0217751X23501300