Analytical Computation of the Caldirola-Kanai Oscillator Parameters by the Dynamic Invariant Method

C. Qotni¹, A. L. Marrakchi¹, S. Sayouri^1, and Y. Achkar¹

¹Department of Physics LPTA, Faculty of Sciences - Dhar El Mahraz, Fes, Morocco

Cite this paper:
C. Qotni, A. L. Marrakchi, S. Sayouri and Y. Achkar. Analytical Computation of the Caldirola-Kanai Oscillator Parameters by the Dynamic Invariant Method. Applied Mathematics and Physics. 2019; 7(1):8-13. doi: 10.12691/amp-7-1-2

Abstract

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.

Keywords:
dynamical invariant method harmonic quantum oscillator quantum correlation coefficient Heisenberg product of uncertainty

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