Comment on "the quantum dynamics for general time-dependent three coupled oscillators"

• URL: http://arxiv.org/abs/2209.11560v2
• Date: Mon, 26 Sep 2022 16:55:08 GMT
• Title: Comment on "the quantum dynamics for general time-dependent three coupled oscillators"
• Authors: Zerimeche Rahma, Mana Naima and Maamache Mustapha
• Abstract summary: We show that Hassoul et al.'s method for analysis of quantum dynamics for general time-dependent three coupled oscillators is not correct. We propose a brief discussion on an alternative method that might achieve satisfactory results.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In a recent paper, Hassoul et al.[1], the authors proposed an analysis of the quantum dynamics for general time-dependent three coupled oscillators through an approach based on their decouplement using the unitary transformation method. Thus, to diagonalize the transformed Hamiltonian, they introduce a new unitary operator corresponding to a three-dimensional rotation parameterized by Euler angles. Through this procedure, Hassoul et al. [1] claim that the coupled oscillatory subsystems are completely decoupled. This last approach is partly wrong. In this brief note, we show that their method is indeed not correct and we try to explain what truly lies behind their mistakes. We also propose a brief discussion on an alternative method that might achieve satisfactory results.

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