Journal of Mathematical Physics

A q-analog of the quantum central limit theorem for SUq(2)

Romuald Lenczewski, Krzysztof Podgórski

Published Aug 1, 1992• 12 citations

Abstract

A q-analog of the central limit theorem for SUq(2), q≳0, is studied. It is shown that the limits of the moments and q-exponential generating functions for coherent states give for q≳1 (0<q<1) the harmonic q-oscillator (q−1-oscillator) introduced by Biedenharn and Macfarlane.

DOI: 10.1063/1.529546

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