The Physics Society of Iran Iranian Journal of Physics Research 1682-6957 19 3 2020 02 02 A damped harmonic oscillator in the GUP framework A damped harmonic oscillator in the GUP framework 593 600 1543 10.47176/ijpr.19.3.17772 FA D Sadatian Journal Article 2020 02 02 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. 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. https://ijpr.iut.ac.ir/article_1543_0c4deedba216762d46db1e719c373e40.pdf