Abstract

This work presents a theoretical study on the effects of rotation on the nonrelativistic quantum motion of a charged particle confined to a 2D ring in the presence of the Aharonov–Bohm effect and a uniform magnetic field. We formulate the Schrödinger equation with minimal coupling, incorporating the gauge field for the rotating frame and the potential vector of the electromagnetic field. By solving the equation of motion, we determine the eigenvalues and eigenfunctions of the particle. We analyze the probability distribution as a function of varying rotating parameter values and observe a perceptible shift in the distribution. This shift indicates a higher probability of locating the electron at the edges of the ring. The second part of our study focuses on the investigation of rotation effects on the linear and nonlinear optical properties of the system. Specifically, we examine the linear, nonlinear, and total refractive index changes, as well as the optical absorption coefficients. Through numerical analysis, we demonstrate significant rotating effects on energy levels and optical properties. Our findings indicate that, for the considered physical parameters, the impact of rotation on the optical properties becomes prominent at values on the order of a few terahertz.

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