4 citations · 6 across the 2 of their papers we have counts for
5 papers
Generalized Coherent States for q-oscillator connected with discrete q-Hermite polynomials
Vadim V. Borzov, Eugene V. Damaskinsky
We are continuing here the study of generalized coherent states of Barut-Girardello type for the oscillator-like systems connected with the given set of orthogonal polynomials. In…
Generalized coherent states for q-oscillator connected with q-Hermite polynomials
Vadim V. Borzov, Eugene V. Damaskinsky
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…
Generalized Hermite polynomials
Vadim V. Borzov
The new method for obtaining a variety of extensions of Hermite polynomials is given. As a first example a family of orthogonal polynomial systems which includes the generalized He…
Realization of the annihilation operator for generalized oscillator-like system by a differential operator
Vadim V. Borzov, Eugene V. Damaskinsky
This work continues the research of generalized Heisenberg algebras connected with several orthogonal polynomial systems. The realization of the annihilation operator of the algebr…
Orthogonal Polynomials and Generalized Oscillator Algebras
V. V. Borzov
For any orthogonal polynomials system on real line we construct an appropriate oscillator algebra such that the polynomials make up the eigenfunctions system of the oscillator hami…