# Photon-added coherent states for shape invariant systems

## TL;DR

This paper fully characterizes photon-added coherent states for shape-invariant potentials, analyzing their properties and computing physical quantities using advanced special functions.

## Contribution

It provides a comprehensive analysis of photon-added coherent states specifically for shape-invariant systems, utilizing generalized hypergeometric and Meijer G-functions.

## Key findings

- Detailed properties of photon-added coherent states are established.
- Physical quantities are computed using special functions.
- Highlights the importance of advanced functions in quantum state analysis.

## Abstract

This paper addresses a full characterization of photon-added coherent states for shape-invariant potentials. Main properties are investigated and discussed. A statistical computation of relevant physical quantities is performed, emphasizing the importance of using generalized hypergeometric functions $_pF_q$ and Meijer's $G$-functions for such a study.