Photon-added coherent states for shape invariant systems

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 ${}_p{F}_q$ and Meijer's $G$-functions for such a study.

References in corpus (8)

• Supersymmetry and Quantum Mechanics
• Schroedinger cat-like states by conditional measurements on a beam-splitter
• Photon-added state preparation via conditional measurement on a beam splitter
• Noncommutative $q$-photon added coherent states
• An Algebraic Construction of Generalized Coherent States for Shape-Invariant Potentials
• Photon-added coherent states for exactly solvable Hamiltonians
• Action-angle coherent states for quantum systems with cylindric phase space
• Self-Similar Potentials and q-Coherent States

Cited by in corpus (2)

• Generalized photon-added associated hypergeometric coherent states: characterization and relevant properties
• Photon-added BarutGirardello like coherent states of time-dependent Landau problem