Title :
Generalized coherent states for classical orthogonal polynomials
Author_Institution :
Dept. of Math., St. Petersburg Univ., Russia
Abstract :
For oscillator-like systems, connected with the Laguerre, Legendre and Chebyshev polynomials, coherent states of Glauber-Barut-Girardello type are defined. The suggested construction can be applied to each system of orthogonal polynomials including classical ones as well as deformed ones.
Keywords :
Chebyshev approximation; Legendre polynomials; oscillators; stochastic processes; Chebyshev polynomials; Glauber-Barut-Girardello type coherent states; Laguerre polynomials; Legendre polynomials; classical orthogonal polynomials; generalized coherent states; orthogonal polynomials; oscillator-like systems; Algebra; Chebyshev approximation; Continuous wavelet transforms; Jacobian matrices; Optical wavelength conversion; Oscillators; Polynomials; Power generation; Symmetric matrices;
Conference_Titel :
Day on Diffraction, 2002. Proceedings. International Seminar
Print_ISBN :
5-7997-0469-X
DOI :
10.1109/DD.2002.1177892
