Barut-Girardello coherent states for nonlinear oscillator with position-dependent mass

Abstract

Using ladder operators for the non-linear oscillator with position-dependent effective mass, realization of the dynamic group SU(1,1) is presented. Keeping in view the algebraic structure of the non-linear oscillator, coherent states are constructed using Barut-Girardello formalism and their basic properties are discussed. Furthermore, the statistical properties of these states are investigated by means of Mandel parameter and second order correlation function. Moreover, it is shown that in the harmonic limit, all the results obtained for the non-linear oscillator with spatially varying mass reduce to corresponding results of the linear oscillator with constant mass.

arXiv comment12 pages and 4 figures

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Cited by in corpus (7)

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• Coherent states of nonlinear oscillators with position-dependent mass: the temporal stability and fractional revivals
• Coherent and squeezed states: introductory review of basic notions, properties and generalizations
• Generalized coherent states for position-dependent effective mass systems
• Isospectral Hamiltonian for position-dependent mass for an arbitrary quantum system and coherent states
• Tomography on f-oscillators
• $SU(1,1)\times SU(2)$ approach and the Mandel parameter to the Hamiltonian of two oscillators with weak coupling