We create a family of boson coherent states using the functions of Mittag-Leffler (ML) E (z),(>
0) and their generalizations E,(z),(,> 0) instead of exponentials. These states are shown to …

The q-deformed harmonic oscillator is revisited in connection with the spectrum of finite
range potentials. It is found that the finite series expansion of the canonical variables, the q …

In this article, the structure of two-sided ideals in the q-deformed Heisenberg algebras
defined by the q-deformed Heisenberg canonical commutation relationis investigated. We …

The spectrum and the time evolution of a system, which is modeled by a non-hermitian
quantum deformed oscillator Hamiltonian, is analyzed. The proposed Hamiltonian is …

The spectral measure of the position (momentum) operator X for the q-deformed oscillator is
calculated in the case of the undetermined Hamburger moment problem. The presentation …

The boson expansion method is applied to find the spectrum of aq-deformed harmonic
oscillator. We use two different boson expansions, each of them including a deformation …

The authors continue to study generalized coherent states for oscillator-like systems
connected with a given family of orthogonal polynomials. In this work, we consider …

We define the Gegenbauer oscillator and introduce a family of Barut–Girardello coherent
states (eigenstates of a relevant annihilation operator) for this oscillator. Gegenbauer …