Coherent states of P{ö}schl-Teller potential and their revival dynamics

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.

13 pages, 6 figures

References in corpus (4)

• Quantum wave packet revivals
• Coherent states à la Klauder-Perelomov for the Pöschl-Teller potentials
• Construction of coherent states for physical algebraic systems
• Coherent states for exactly solvable potentials

Cited by in corpus (7)

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• Sub-Planck scale structures in the P{ö}schl-Teller potential and their sensitivity to perturbations
• Coherent states of nonlinear oscillators with position-dependent mass: the temporal stability and fractional revivals
• Coherent state of a nonlinear oscillator and its revival dynamics
• A time frequency analysis of wave packet fractional revivals
• Variable Hyperparameterized Gaussian Kernel using Displaced Squeezed Vacuum State
• New coherent states with Laguerre polynomials coefficients for the symmetric Poschl-Teller oscillator