论文标题
评论:“一般时间依赖时间耦合振荡器的量子动力学”
Comment on: "Quantum dynamics of a general time-dependent coupled oscillator"
论文作者
论文摘要
通过使用动态不变理论,Hassoul等人。 [1,2]研究了两个(2D)和三(3D)维度依赖性耦合振荡器的量子动力学。他们声称,在第二个情况下,引入了两对an灭和创建操作员,将原始不变的操作员弄清楚,以便它成为描述两个独立子系统的一个。对于3D情况,作者假装他们获得了对角的不变性,这正是三个简单的谐波振荡器的总和。我们表明他们的调查遇到了基本错误,因此发现的结果无效。
By using dynamical invariants theory, Hassoul et al. [1,2] investigate the quantum dynamics of two (2D) and three (3D) dimensional time-dependent coupled oscillators. They claim that, in the 2D case, introducing two pairs of annihilation and creation operators uncouples the original invariant operator so that it becomes the one that describes two independent subsystems. For the 3D case, the authors pretend that they have obtained a diagonalized invariant which is exactly the sum of three simple harmonic oscillators. We show that their investigations suffer from basic errors and therefore the found results are not valid .