Rotational and inverse square potential effects on harmonic oscillator confined by flux field in a space-time with screw dislocation
arXiv:2303.01968 · doi:10.1142/S0217751X23501300
Abstract
This research paper delves into the study of a non-relativistic quantum system, considering the interplay of non-inertial 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 (representing the screw dislocation), the presence of a rotating frame engaged in constant angular motion with speed , and the external potential. Then we study the quantum behavior of non-relativistic 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.
arXiv comment09 pages, Accepted for Publication in International Journal of Modern Physics A
References in corpus (23)
- Heun Functions and Some of Their Applications in Physics
- Exact Solutions of the Klein-Gordon Equation in the Presence of a Dyon, Magnetic Flux and Scalar Potential in the Specetime of Gravitational Defects
- Relativistic quantum oscillators in the global monopole spacetime
- Noninertial effects on the Dirac oscillator in a topological defect spacetime
- An improved approximation scheme for the centrifugal term and the Hulthen potential
- Relativistic Motions of Spin-Zero Quantum Oscillator Field in a Global Monopole Space-Time with External Potential and AB-effect
- Exact solution of Schrodinger equation for Pseudoharmonic potential
- A quantum pseudodot system with two-dimensional pseudoharmonic potential under external magnetic and AB flux fields
- Realization of the spectrum generating algebra for the generalized Kratzer potentials
- Scalar self-energy for a charged particle in global monopole spacetime with a spherical boundary
- global monopole revisited
- Gravitating Magnetic Monopole in the Global Monopole Spacetime
- Vaccum Polarization for a Massless Scalar Field in the Global Monopole Spacetime at Finite Temperature
- Non-relativistic quantum effects on the harmonic oscillator in a spacetime with a distortion of a vertical line into a vertical spiral
- Vacuum Polarization for a Massless Spin-1/2 Field in the Global Monopole Spacetime at Nonzero Temperature
- Point-like defect on Schrödinger particles under flux field with harmonic oscillator plus Mie-type potential: application to molecular potentials
- Vacuum Polarization Effects in the Global Monopole Spacetime in the Presence of Wu-Yang Magnetic Monopole
- Klein-Gordon Oscillator with Scalar and Vector Potentials in Topologically Charged Ellis-Bronnikov type Wormhole
- Electric quadrupole moment of a neutral non-relativistic particle in the presence of screw dislocation
- Scattering of Klein-Gordon particles in the background of mixed scalar-vector generalized symmetric Woods-Saxon potential
- Interaction of the magnetic quadrupole moment of a non-relativistic particle with an electric field in the background of screw dislocations with a rotating frame
- Effects of rotation in the spacetime with a distortion of a vertical line into a vertical spiral
- Non-inertial effects on a non-relativistic quantum harmonic oscillator in the presence of a screw dislocation