Coherent and generalized intelligent states for infinite square well potential and nonlinear oscillators

Abstract

This article is an illustration of the construction of coherent and generalized intelligent states which has been recently proposed by us for an arbitrary quantum system $[1]$. We treat the quantum system submitted to the infinite square well potential and the nonlinear oscillators. By means of the analytical representation of the coherent states à la Gazeau-Klauder and those à la Klauder-Perelomov, we derive the generalized intelligent states in analytical ways.

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Cited by in corpus (6)

• The Construction of Some Important Classes of Generalized Coherent states: The Nonlinear Coherent States Method
• The Construction of the Dual Family of Gazeau-Klauder Coherent States via Temporally Stable Nonlinear Coherent States
• Superpositions of the dual family of nonlinear coherent states and their non-classical properties
• Morse-like squeezed coherent states and some of their properties
• On the ladder operators and nonclassicality of generalized coherent state associated with a particle in an infinite square well
• Generalized Grassmann variables for quantum kit (k-level) systems and Barut-Girardello coherent states for su(r+1) algebras