Relationship Between Negative Binomial State and SU(1,1) Coherent State and Its q -Deformed Generalization
Hong-Yi Fan, Sicong Jing · Communications in Theoretical Physics · 1995
By choosing a suitable single-mode boson realization of SU(1,1) algebra we show that the associated SU(1,1) coherent state can be directly reformed as a negative binomial state. The q -deformed negative binomial state is introduced, and the relationship between this state and the SU q (1,1) coherent state is also demonstrated.