We construct generalized coherent states for the rationally extended Scarf-I potential. Statistical and geometrical properties of these states are investigated. Special emphasis is given to the study of spatio-temporal properties of the coherent states via the quantum carpet structure and the auto-correlation function. Through this study, we aim to find the signature of the “rationalization” of the conventional potentials and the classical orthogonal polynomials.

中文翻译：

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异常 Scarf-I 势的广义相干状态：它们的时空和统计特性

我们为合理扩展的 Scarf-I 势构建广义相干态。研究了这些状态的统计和几何特性。特别强调通过量子地毯结构和自相关函数研究相干态的时空特性。通过这项研究，我们旨在找到常规势和经典正交多项式的“合理化”的特征。