Rotational Frame Effects with Quantum Flux and Centrifugal Potential on Harmonic Oscillator problem in a Space-time with Screw Dislocation

In this paper, we study the quantum dynamics of particles under non-inertial effects induced by a rotating frame confined by the Aharonov-Bohm (AB) flux field with interacting potential in topological defect background associated to screw dislocation, which corresponds to a distortion of a vertical line into a vertical spiral. Firstly, we study the harmonic oscillator problem with a centrifugal potential and obtain the eigenvalue solution of the quantum system. As particular cases, we presented the ground state energy level and wave function of the harmonic oscillator defined by the radial mode $n=1$. In fact, it is shown there that the energy eigenvalue and wave function are influenced by the topological defect parameter $\beta$ (screw dislocation), the rotating frame which is moving with a constant angular speed $\Omega$ and the centrifugal potential, and gets them modified. Secondly, we investigate quantum motions of the non-relativistic particles interacting with only inverse square potential under rotational frame effects and presented the energy level and wave function following the same procedure. In both cases, we observe that the presence of quantum flux field $\Phi_{AB}$ causes a shifting in the spectrum of energy of the particles and shows an electromagnetic analogue to the AB-effect, a quantum mechanical phenomenon.