Research PaperNo Access

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

Department of Physics, Faculty of Science and Technology, ICFAI Foundation for Higher Education, Dontanapally, Hyderabad 501 203, Telangana, India

E-mail Address: shreecharan@ifheindia.org

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and

S. Sree Ranjani

https://orcid.org/0000-0002-4395-0706

Department of Physics, Faculty of Science and Technology, ICFAI Foundation for Higher Education, Dontanapally, Hyderabad 501 203, Telangana, India

E-mail Address: s.sreeranjani@ifheindia.org

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https://doi.org/10.1142/S0129055X21500331Cited by:0 (Source: Crossref)

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 “rationalization” of the conventional potentials and the classical orthogonal polynomials.

Keywords:

AMSC: 81Q60, 81R30

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