eng Science and Education Publishing Applied Mathematics and Physics 2333-4886 2019-10-17 7 1 8 13 10.12691/amp-7-1-2 AMP2019712 article C. Qotni 1 A. L. Marrakchi 1 S. Sayouri ssayouri@gmail.com 1 Y. Achkar 1 Department of Physics LPTA, Faculty of Sciences - Dhar El Mahraz, Fes, Morocco The method of the invariant dynamical linear operator is very simple and may be useful to solve the Schrödinger equation, in particular in the case of the problem of a harmonic oscillator with a time dependent mass and frequency. Indeed, we have successfully used this approach to the Caldirola-Kanai oscillator. In particular, we have obtained explicit expressions of the uncertainty product and the quantum correlation coefficient. The results obtained are in good agreement with those of the literature. http://pubs.sciepub.com/amp/7/1/2/amp-7-1-2.pdf dynamical invariant method harmonic quantum oscillator quantum correlation coefficient Heisenberg product of uncertainty