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

We investigate non-inertial effects induced by a rotating frame on non-relativistic quantum harmonic oscillator as well of the topology associated to screw dislocation, which corresponds distortion vertical line into spiral. To do this, we obtain analytical solutions time-independent Schr\"odinger equation for this potential in background. The expressions energy spectrum are obtained and four states, namely $n=0,1,2$ $3$, analysed. Our results show that presence topological defect (screw dislocation) fact analysing system from point view frame, changes corresponding spectrum. Now these quantities depend angular velocity $\Omega$, also parameter $\beta$, codifies dislocation. Particularly, with respect changing is such when $\Omega$ increases, can increase or decrease depending values assign eigenvalues linear momenta. Additionally, observe $\beta$ characterizes dislocation causes shift