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math.QA2003★ 1 cited
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…
math.QA2002
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…
math.QA1998
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…