Coherent States of Position-Dependent Mass Oscillator

In this paper, we study Gazeau-Klauder and displacement-type coherent states of two-dimensional position-dependent mass oscillators, which is called I >-dependent oscillators and I > can be interpreted as the curvatures of the spherical and the hyperbolic spaces, on which oscillators are constrained. In addition, we consider the effect of I > parameter on the physical properties of these coherent states, including minimized Heisenberg uncertainty relation and Mandel's Q parameter. We also elaborate the relation between the curvature of the physical space and the curvature of the I >-dependent coherent state manifold.