# Shape invariant potential formalism for photon-added coherent state construction

## TL;DR

This paper introduces a shape invariant potential formalism to construct generalized coherent states for photon-added systems, demonstrated specifically on the Poschl-Teller potential, offering a new algebraic approach.

## Contribution

It presents a novel algebro-operator method using shape invariance to construct photon-added coherent states, expanding the theoretical framework.

## Key findings

- Successful construction of photon-added coherent states for Poschl-Teller potential
- Demonstrates the applicability of shape invariant potential formalism in quantum state engineering
- Provides a new algebraic approach for generalized coherent state creation

## Abstract

An algebro-operator approach, called shape invariant potential method, of constructing generalized coherent states for photon-added particle system is presented. Illustration is given on Poschl-Teller potential.