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

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

2000-07-12

arxiv.org/abs/math-ph/0007016v2

Phys. Lett. A 272 (2000) 313-325 + erratum Phys. Lett. A 275 (2000)313

Physics

Mathematical Physics

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

Scientific paper

10.1016/S0375-9601(00)00457-6

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.

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