2003/09/03 by T. Shreecharan, Prasanta K. Panigrahi, J. Banerji · 2 citations
Physics and Astronomy · #Coherent states #Physics #Political science #Quantum #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #Theoretical physics #quant-ph
paper · pdf · doi:10.1103/physreva.69.012102
published as Phys. Rev. A 69, 012102 (2004) · 11 pages, 4 eps figures, uses graphicx package
arxiv created 2003/09/03 · openalex publication_date 2004/01/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A general algebraic procedure for constructing coherent states of a wide class of exactly solvable potentials, e.g., Morse and P"oschl-Teller, is given. The method, a priori, is potential independent and connects with earlier developed ones, including the oscillator-based approaches for coherent states and their generalizations. This approach can be straightforwardly extended to construct more general coherent states for the quantum-mechanical potential problems, such as the nonlinear coherent states for the oscillators. The time evolution properties of some of these coherent states show revival and fractional revival, as manifested in the autocorrelation functions, as well as, in the quantum carpet structures.