论文标题
建造摩尔斯电势的连贯状态：类似SU（2）的方法
Construction of coherent states for Morse potential: A su(2)-like approach
论文作者
论文摘要
我们提出了一个广义的SU（2）代数，该代数完美地描述了Morse潜力的离散能量部分。然后，我们检查了特定的示例，该方法可以应用于任何莫尔斯振荡器，并实际上是任何频谱有限的物理系统。此外，我们构建了klauder连贯的状态，以通过截断的stieltjes力矩问题获得，以积极的措施满足身份的分辨率。分析了构建相干状态的不确定性关系的时间演变。不确定性关系更本地化，对于较小的收敛半径值。
We propose a generalized su(2) algebra that perfectly describes the discrete energy part of the Morse potential. Then, we examine particular examples and the approach can be applied to any Morse oscillator and to practically any physical system whose spectrum is finite. Further, we construct the Klauder coherent state for Morse potential satisfying the resolution of identity with a positive measure, obtained through the solution of truncated Stieltjes moment problem. The time evolution of the uncertainty relation of the constructed coherent states is analyzed. The uncertainty relation is more localized for small values of radius of convergence.
