Coherent states of the Pöschl–Teller potential and their revival dynamics

2004/11/30 by Utpal Roy, J. Banerji, J Banerji +2
Mathematics · Physics and Astronomy · #Annihilation #Coherence (philosophical gambling strategy) #Coherent states #Connection (principal bundle) #Displacement operator #Operator (biology) #Quadratic equation #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #Spectrum (functional analysis) #State (computer science) #quant-ph

paper · pdf · doi:10.1088/0305-4470/38/41/019

published as J. Phys. A: Math. Gen. 38, 9115 (2005) · 13 pages, 6 figures

openalex publication_date 2005/09/28 · arxiv created 2007/03/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

A recently developed algebraic approach for constructing coherent states for solvable potentials is used to obtain the displacement operator coherent state of the Pöschl–Teller potential. We establish the connection between this and the annihilation operator coherent state and compare their properties. We study the details of the revival structure arising from different time scales underlying the quadratic energy spectrum of this system.

Citations

• Coherent states: Theory and some applications
• The evolution and revival structure of localized quantum wave packets
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