IRREDUCIBLE REPRESENTATIONS OF DEFORMED OSCILLATOR ALGEBRA AND q-SPECIAL FUNCTIONS
نویسنده
چکیده
Different generators of a deformed oscillator algebra give rise to oneparameter families of q-exponential functions and q-Hermite polynomials related by generating functions. Connections of the Stieltjes and Hamburger classical moment problems with the corresponding resolution of unity for the q-coherent states and with ’coordinate’ operators Jacobi matrices, are also pointed out. Permanent address: St.Petersburg Branch of the Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, St.Petersburg 191011, Russia
منابع مشابه
Unitary Realizations of the q-Oszillator Algebra
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