Ladder operators and coherent states for the trigonometric Pöschl-Teller potential

Abstract

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 Schrödinger equation. We show that both methods yield coherent states with identical algebraic structure.

arXiv comment13 pages

References in corpus (2)

• f-Oscillators and Nonlinear Coherent States
• The Construction of Some Important Classes of Generalized Coherent states: The Nonlinear Coherent States Method

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