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Physical Review A

Connection of a type ofq-deformed binomial state withq-spin coherent states

Fan Hong-Yi, Sicong Jing

Published Aug 1, 1994• 29 citations
Publisher

Abstract

Using the q analog of the Holstein-Primakoff boson realization of the su(2) generators, we show that a type of q-deformed binomial state that corresponds to the Heine distribution can be identified as an su(2${)}_{\mathit{q}}$ coherent state. This fact is a q extension of the fact that the ordinary binomial state is a particular su(2) coherent state when the Holstein-Primakoff transformation is employed.

DOI
10.1103/physreva.50.1909

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Using the q analog of the Holstein-Primakoff boson realization of the su(2) generators, we show that a type of q-deformed binomial state that corresponds to the Heine distribution can be identified as an su(2)q{)}_{\mathit{q}})q​ coherent state. This fact is a q extension of the fact that the ordinary binomial state is a particular su(2) coherent state when the Holstein-Primakoff transformation is employed.