Research Article Orthogonal polynomials attached to coherent states for the symmetric Pöschl–Teller oscillator

2016 ◽  
Vol 27 (10) ◽  
pp. 806-823 ◽  
Author(s):  
Khalid Ahbli ◽  
Patrick Kayupe Kikodio ◽  
Zouhaïr Mouayn
Keyword(s):  
Orthogonal Polynomials ◽  
Coherent States ◽  
Research Article

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

2021 ◽  
pp. 2150033
Author(s):  
T. Shreecharan ◽  
S. Sree Ranjani
Keyword(s):  
Correlation Function ◽  
Orthogonal Polynomials ◽  
Coherent States ◽  
Classical Orthogonal Polynomials ◽  
Geometrical Properties ◽  
Temporal Properties ◽  
Auto Correlation ◽  
Generalized Coherent States ◽  
Auto Correlation Function ◽  
Spatio Temporal

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.

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