Generalized coherent states of exceptional Scarf-I potential: Their spatio-temporal and statistical properties
Quantum Physics
2022-02-22 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2107.05229,
title = {Generalized coherent states of exceptional Scarf-I potential: Their spatio-temporal and statistical properties},
author = {T. Shreecharan and S. Sree Ranjani},
journal= {arXiv preprint arXiv:2107.05229},
year = {2022}
}
Comments
33 figures. Accepted for publication in Reviews in Mathematical Physics