Spectrum generating algebra of the C_λ-extended oscillator and multiphoton coherent states

Abstract

The $C_{\lambda }$-extended oscillator spectrum generating algebra is shown to be a $C_{\lambda }$-extended $(\lambda -1)$th-degree polynomial deformation of su(1,1). Its coherent states are constructed. Their statistical and squeezing properties are studied in detail. Such states include both some Barut-Girardello and the standard $\lambda$-photon coherent states as special cases.

LaTeX2e, amssym,19 pages, to be published in Phys. Lett. A (+ figures), misprint corrected in eq. (41)

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