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H. de la Cruz, J. C. Jimenez, R. J. Biscay,On the oscillatory behavior of coupled stochastic harmonic oscillators driven by random forcesStatistics & Probability Letters, Volume 146, March 2019, Pages 85-89.

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Article

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

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


Applied Mathematics and Physics. 2019, Vol. 7 No. 1, 8-13
DOI: 10.12691/amp-7-1-2
Copyright © 2019 Science and Education Publishing

Cite this paper:
C. Qotni, A. L. Marrakchi, S. Sayouri, 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.

Correspondence to: S.  Sayouri, Department of Physics LPTA, Faculty of Sciences - Dhar El Mahraz, Fes, Morocco. Email: ssayouri@gmail.com

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.

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