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- W3105668093 abstract "A method for obtaining complex analytic realizations for a class of deformed algebras based on their respective deformation mappings and their ordinary coherent states is introduced. Explicit results of such realizations are provided for the cases of the $q$-oscillators ($q$-Weyl-Heisenberg algebra) and for the $su_{q}(2)$ and $su_{q}(1,1)$ algebras and their co-products. They are given in terms of a series in powers of ordinary derivative operators which act on the Bargmann-Hilbert space of functions endowed with the usual integration measure. In the $qrightarrow 1$ limit these realizations reduce to the usual analytic Bargmann realizations for the three algebras." @default.
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- W3105668093 date "1994-03-01" @default.
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- W3105668093 title "Complex analytic realizations for quantum algebras" @default.
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- W3105668093 doi "https://doi.org/10.1063/1.530591" @default.
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