Generalized Coherent States Associated with the Cλ-Extended Oscillator
نویسنده
چکیده
Two new types of coherent states associated with the Cλ-extended oscillator, where Cλ is the cyclic group of order λ, are introduced. They satisfy a unity resolution relation in the Cλ-extended oscillator Fock space (or in some subspace thereof) and give rise to Bargmann representations of the latter, wherein the generators of the Cλ-extended oscillator algebra are realized as differential-operator-valued matrices.
منابع مشابه
Spectrum generating algebra of the Cλ-extended oscillator and multiphoton coherent states
The Cλ-extended oscillator spectrum generating algebra is shown to be a Cλextended (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. PACS: 02.10.Vr, 03.65.Fd, 11.30.Na, 42.50.Dv
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