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- W2990815523 abstract "We use the recursion relations of the continuous [Formula: see text]-Hermite polynomials and obtain the [Formula: see text]-difference realizations of the ladder operators of a [Formula: see text]-oscillator algebra in terms of the Askey–Wilson operator. For [Formula: see text]-deformed coherent states associated with a disc in the radius [Formula: see text], we obtain a compact form in [Formula: see text]-representation by using the generating function of the continuous [Formula: see text]-Hermite polynomials, too. In this way, we obtain a [Formula: see text]-difference realization for the [Formula: see text]-oscillator algebra in the finite interval [Formula: see text] as a [Formula: see text]-generalization of known differential formalism with respect to [Formula: see text] in the interval [Formula: see text] of the simple harmonic oscillator." @default.
- W2990815523 created "2019-12-05" @default.
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- W2990815523 date "2019-12-26" @default.
- W2990815523 modified "2023-10-18" @default.
- W2990815523 title "Approach of the continuous q-Hermite polynomials to x-representation of q-oscillator algebra and its coherent states" @default.
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- W2990815523 doi "https://doi.org/10.1142/s0219887820500218" @default.
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