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arXiv · 2107.05229

Generalized coherent states of exceptional Scarf-I potential: Their spatio-temporal and statistical properties

T. Shreecharan·S. Sree Ranjani
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Abstract

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 `"rationalisation" of the conventional potentials and the classical orthogonal polynomials.

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T. Shreecharan, S. Sree Ranjani. 2021-07-12. Generalized coherent states of exceptional Scarf-I potential: Their spatio-temporal and statistical properties. https://doi.org/10.1142/s0129055x21500331

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