# Revival structures of coherent states for Xm exceptional orthogonal polynomials of the Scarf I potential within position-dependent effective mass

## TL;DR

This paper investigates the revival phenomena of coherent states associated with exceptional orthogonal polynomials in the Scarf I potential, revealing differences between constant and position-dependent mass cases, with numerical illustrations and a connection to mass parameters.

## Contribution

It introduces the study of revival structures of coherent states for Xm exceptional polynomials with position-dependent mass, highlighting the absence of fractional revivals in this scenario.

## Key findings

- Full revivals occur with constant mass.
- Fractional revivals are absent with position-dependent mass.
- Coherence time relates closely to the mass parameter.

## Abstract

The revival structures for the X_m exceptional orthogonal polynomials of the Scarf I potential endowed with position-dependent effective mass is studied in the context of the generalized Gazeau-Klauder coherent states. It is shown that in the case of the constant mass, the deduced coherent states mimic full and fractional revivals phenomena. However in the case of position-dependent effective mass, although full revivals take place during their time evolution, there is no fractional revivals as defined in the common sense. These properties are illustrated numerically by means of some specific profile mass functions, with and without singularities. We have also observed a close connection between the coherence time {\tau}_coh^m? and the mass parameter ?.