10 citations · 11 across the 5 of their papers we have counts for
6 papers
Coherent states of Krawtchouk oscillator and beyond
V. V. Borzov, E. V. Damaskinsky
In the frame of our approach we constructed the generalized oscillator connected with Krawtchouk polynomials (named Krawtchouk oscillator) and coherent states for this oscillator t…
The generalized coherent states for oscillators, Connected with Meixner and Meixner-Pollaczek polynomials % %
V. V. Borzov, E. V. Damaskinsky
The investigation of the generalized coherent states for oscillator-like systems connected with given family of orthogonal polynomials is continued. In this work we consider oscill…
Coherent states and Chebyshev polynomials
V. V. Borzov, E. V. Damaskinsky
We define the coherent states for the oscillator-like systems, connected with the Chebyshev polynomials and of the 1-st and 2-nd kind.
Coherent states for the Legendre oscillator
V. V. Borzov, E. V. Damaskinsky
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…
Generalized Coherent States for Classical Orthogonal Polynomials
V. V. Borzov, E. V. Damaskinsky
For the oscillator-like systems, connected with the Laguerre, Legendre and Chebyshev polynomials coherent states of Glauber-Barut-Girardello type are defined. The suggested constru…
On position operator spectral measure for deformed oscillator in the case of indetermine Hamburger moment problem
V. V. Borzov, E. V. Damaskinsky, P. P. Kulish
The spectral measure of the position (momentum) operator for -deformed oscillator is calculated in the case of the indetermine Hamburger moment problem. The exposition is gi…