Spectrum generating algebra of the Cλ-extended oscillator and multiphoton coherent states
C. Quesne
Abstract
The Cλ-extended oscillator spectrum generating algebra is shown to be a Cλ-extended (λ-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 λ-photon coherent states as special cases.
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