Non-inertial effects on a non-relativistic quantum harmonic oscillator in the presence of a screw dislocation

Abstract

In this paper, we investigate non-inertial effects induced by a rotating frame on a non-relativistic quantum harmonic oscillator as well as of the topology associated to a screw dislocation, which corresponds to a distortion of a vertical line into a vertical spiral. To do this, we obtain the analytical solutions of the time-independent Schrdinger equation for this harmonic oscillator potential in this background. The expressions for the energy spectrum are obtained and the solutions for four quantum states, namely, [Formula: see text] and [Formula: see text], are analyzed. Our results show that the presence of the topological defect (screw dislocation) as well the fact that we are analyzing the system from the point of view of a rotating frame, changes the solutions of Schrdinger equation and the corresponding spectrum. Now these quantities depend on the angular velocity of the rotating frame, [Formula: see text], and also on the parameter [Formula: see text], which codifies the presence of the screw dislocation. Particularly, with respect to the energy spectrum of the system the changing is such that when [Formula: see text] increases, the energy can increase or decrease depending on the values we assign to the eigenvalues of the angular and linear momenta. Additionally, we observe that the values of the parameter [Formula: see text] that characterizes the screw dislocation cause a shift in the energy spectrum.