Ladder operators and coherent states for nonlinear potentials

In this work, we make use of deformed operators to construct the coherent states of some nonlinear systems by generalization of two definitions: (i) as eigenstates of a deformed annihilation operator and (ii) by application of a deformed displacement operator to the vacuum state. We also construct the coherent states for the same systems using the ladder operators obtained by traditional methods with the knowledge of the eigenfunctions and eigenvalues of the corresponding Schrodinger equation. We show that both methods yield coherent states with identical algebraic structure.