(1) Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Apdo. Postal 48-3, Cuernavaca, Morelos, 62251, Mexico;(2) Departamento de Química, Universidad Simón Bolívar, Apartado 89000, Caracas, 1080A, Venezuela
Abstract:
We construct nonlinear coherent states by the application of a deformed displacement operator acting upon the vacuum state
and as approximate eigenstates of a deformed annihilation operator. These states are used to evaluate the temporal evolution
of the average value of the momentum and the diplacement coordinate as well as their dispersions. We also construct even and
odd combinations of these nonlinear coherent states and compute their second order correlation function in order to analyze
their statistical behavior.