Abstract The vibrations inside diatomic molecules are well modeled by the Morse potential and, therefore, the Morse nonlinear coherent states can be considered as approximations of diatomic molecules coherent states. Currently, the experimental realisation of nonlinear coherent states for molecular systems is an interesting subject of investigation. In this paper, we analyze the nonclassical properties of different coherent states for a particle in the Morse potential. We find that the s u ( 2 ) algebra can be generalized by using an appropriate monotonically increasing function and that the bound states of particular diatomic molecules can be well described by the introduced algebra. We construct two types of generalized s u ( 2 ) coherent states satisfying all necessary requirements, mainly the resolution of identity, for the molecule 27 Al 1 H . We notice an anti-bunching effect for both types of coherent states by analyzing the second order correlation function.

中文翻译：

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双原子分子相干态的时间演化和抗聚束效应

摘要 双原子分子内部的振动可以用莫尔斯势很好地模拟，因此，莫尔斯非线性相干态可以被认为是双原子分子相干态的近似。目前，分子系统非线性相干态的实验实现是一个有趣的研究课题。在本文中，我们分析了摩尔斯势中粒子不同相干态的非经典性质。我们发现 su ( 2 ) 代数可以通过使用适当的单调递增函数来推广，并且特定双原子分子的束缚态可以通过引入的代数很好地描述。我们构建了两种类型的广义 su ( 2 ) 相干态，满足分子 27 Al 1 H 的所有必要要求，主要是身份解析。