Chapter Twelve

Approximate Coherent States for Nonlinear Systems

Ricardo Román-Ancheyta*; José Récamier*,1    * Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México C.P. 62210 Cuernavaca, Morelos, México1 Corresponding author: email address: pepe@fis.unam.mx

Abstract

On the basis of the f-deformed oscillator formalism, we propose to construct nonlinear coherent states for Hamiltonian systems having linear and quadratic terms in the number operator by means of the following two definitions: (i) as deformed annihilation operator coherent states and (ii) as deformed displacement operator coherent states (DOCS). For the particular cases of the Morse and modified Pöschl-Teller potentials, modeled as f-deformed oscillators (both ...

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