We develop generalized coherent states based on the Gazeau–Klauder formalism for a particle with position-dependent mass trapped in an infinite square well. We study the quantum statistical properties of these states by means of the Mandel parameter and the second-order correlation function. Our analysis reveals that the constructed coherent states exhibit sub-Poissonian statistics. Moreover, theoretical investigations of wave packet revivals and fractional revivals for the pertaining system have been performed by means of the autocorrelation function and temporal evolution of probability density.

中文翻译：

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被困在无限方形井中的位置相关质量的相干状态

我们开发了基于 Gazeau-Klauder 形式主义的广义相干态，用于具有位置相关质量的粒子被困在无限方形井中。我们通过曼德尔参数和二阶相关函数研究这些状态的量子统计特性。我们的分析表明，构建的相干态表现出亚泊松统计。此外，通过自相关函数和概率密度的时间演化，对相关系统的波包恢复和分数恢复进行了理论研究。