Coherent states of nonlinear oscillators with position-dependent mass: the temporal stability and fractional revivals
arXiv:1704.02650 · doi:10.1088/0253-6102/68/2/181
Abstract
We develop generalized coherent states for a class of nonlinear oscillators with position-dependent effective mass in the context of the Gazeau-Klauder formalism and discuss some of their properties. In order to investigate the temporal evolution we first explore the statistical properties by means of weighting distribution and the Mandel parameter. It is found that the temporal evolution of the coherent states may exhibit the phenomena of quantum revivals and fractional revivals for a particular choice of position-dependent mass oscillator.
14 pages, 6 figures (22 plots); accepted for publication in "Communications in Theoretical Physics"
References in corpus (8)
- Exact Klein-Gordon equation with spatially-dependent masses for unequal scalar-vector Coulomb-like potentials
- Shape-invariant quantum Hamiltonian with position-dependent effective mass through second order supersymmetry
- d-Dimensional generalization of the point canonical transformation for a quantum particle with position-dependent mass
- Algebraic solutions of shape-invariant position-dependent effective mass systems
- Quantum Recurrences in Driven Power-law Potentials
- Collapse and revivals of a the photon field in a many-body Landau-Zener process
- Barut-Girardello coherent states for nonlinear oscillator with position-dependent mass
- Generalized coherent states for position-dependent effective mass systems