论文标题

评论“一般时间相关的三个耦合振荡器的量子动力学”

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

论文作者

Rahma, Zerimeche, Naima, Mana, Mustapha, Maamache

论文摘要

在最近的一篇论文中,Hassoul等人[1],作者提出了对一般时间依赖性的三个耦合振荡器的量子动力学分析,该方法是基于其使用单位转换方法的脱钩的方法。因此,为对角度化转化的哈密顿量,他们引入了与欧拉角参数参数相对应的新的统一操作员。通过此过程,Hassoul等人。 [1]声称耦合的振荡子系统是完全解耦的。最后一种方法部分是错误的。在此简短说明中,我们表明他们的方法确实不正确,我们试图解释他们错误背后的真正含义。我们还提出了有关一种可能获得令人满意结果的替代方法的简要讨论。

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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