Generalized coherent states for position-dependent effective mass systems

Abstract

A generalized scheme for the construction of coherent states in the context of position-dependent effective mass systems has been presented. This formalism is based on the ladder operators and associated algebra of the system which are obtained using the concepts of supersymmetric quantum mechanics and the property of shape-invariance. In order to exemplify the general results and to analyzed the properties of the coherent states, several examples have been considered.

6 pages and 2 figures

References in corpus (2)

• Algebraic solutions of shape-invariant position-dependent effective mass systems
• Barut-Girardello coherent states for nonlinear oscillator with position-dependent mass

Cited by in corpus (5)

• $\kappa$-Deformed quantum and classical mechanics for a system with position-dependent effective mass
• Algebraic solutions of shape-invariant position-dependent effective mass systems
• Coherent states of nonlinear oscillators with position-dependent mass: the temporal stability and fractional revivals
• Supersymmetric quantum mechanics and coherent states for a deformed oscillator with position-dependent effective mass
• Exact solution and coherent states of an asymmetric oscillator with position-dependent mass