Generalized Coherent States for Classical Orthogonal Polynomials

2002/09/15 by V. V. Borzov, Borzov, V. V., E. V. Damaskinsky +1
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Quantum Algebra (math.QA) #math.CA #math.QA

paper · pdf · doi:10.48550/arxiv.math/0209181

LaTeX2e, 8 pages, no figures, submitted to Proc. of conference "Day of Difraction 2002" Sankt-Petersburg, Russia, 2002

arxiv created 2002/09/15 · arxiv updated 2009/11/30

Abstract

For the 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.

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