A damped harmonic oscillator in the GUP framework

Sadatian, D

doi:10.47176/ijpr.19.3.17772

A damped harmonic oscillator in the GUP framework

Author

D Sadatian

https://doi.org/10.47176/ijpr.19.3.17772

Abstract

Harmonic oscillator is significantly important in quantum gravity for its dynamical properties. Dynamics of the harmonic oscillator can be modified by inserting a modified uncertainty relation considered in quantum cosmology models such as string theory and quantum loop gravity theory. In this paper, the equation of damped quantum harmonic oscillator has been solved with respect to the modified uncertainty relation and the effects of this modification have been probed in the case of the damped oscillating system.

Keywords

damped harmonic quantum oscillator

generalized uncertainty principle

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