We construct creation and annihilation operators for deformed harmonic oscillators with
minimal length uncertainty relations. We discuss a possible generalization to a large class of …

We analyze a generalization of the quantum Calogero model with the underlying conformal
symmetry, paying special attention to the two-body model deformation. Owing to the …

We explore in this paper some orthogonal polynomials which are naturally associated with
certain families of coherent states, often referred to as nonlinear coherent states in the …

We continue studying generalized coherent states of the Barut-Girardello type for oscillator-
like systems related to a given set of orthogonal polynomials. In this paper we construct a …

The ability to implement quantum operations plays a fundamental role in manipulating
quantum systems. Creation and annihilation operators which transform one quantum state …

A new oscillator-like system called by the Legendre oscillator is introduced in this note. The
two families of coherent states (coherent states as eigenvectors of the annihilation operator …

We consider a one-parameter family of nonlinear coherent states by replacing the factorial in
coefficients zn/n! of the canonical coherent states by a specific generalized factorial xn γ …

For oscillator-like systems, connected with the Laguerre, Legendre and Chebyshev
polynomials, coherent states of Glauber-Barut-Girardello type are defined. The suggested …

For the oscillator-like systems, connected with q-Hermite polynomials, coherent states of
Barut-Girardello type are defined. The well-known Arik-Coon oscillator naturally arose in the …

Coherent states and uncertainty relations for generalized oscillators connected with the
given families of orthogonal polynomial Page 1 DAYS on DIFFRACTION' 2005 Coherent …