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

Abstract

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 Schrödinger 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 $n=0,1,2$ and $3$, are analysed. Our results show that the presence of the topological defect (screw dislocation) as well the fact that we are analysing the system from the point of view of a rotating frame, changes the solutions of Schrödinger equation and the corresponding spectrum. Now these quantities depend on the angular velocity of the rotating frame, $\Omega$, and also on the parameter $\beta$, which codifies the presence of the screw dislocation. Particularly, with respect to the energy spectrum of the system the changing is such that when $\Omega$ 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 $\beta$ that characterizes the screw dislocation causes a shift in the energy spectrum.

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Cited by in corpus (5)

• Rotational and inverse square potential effects on harmonic oscillator confined by flux field in a space-time with screw dislocation
• Cornell and Coulomb potentials in the double defect spacetime
• Dynamics of massive and massless particles in the spacetime of a wiggly cosmic dislocation
• Charged scalar boson in Melvin universe
• Non-relativistic quantum particles interacting with pseudoharmonic-type potential under flux field in a topological defect geometry