Generalized Coherent States Associated with the $C_λ$-Extended Oscillator

Details Generalized Coherent States Associated with the $C_λ$-Extended Oscillator Generalized Coherent States Associated with the $C_λ$-Extended Oscillator

2001-10-05

arxiv.org/abs/quant-ph/0110036v1

Proc. Second Int. Symp. on Quantum Theory and Symmetries, Krakow, Poland, July 18-21, 2001, Eds. E. Kapuscik and A. Horzela (W

Physics

Quantum Physics

7 pages, LaTeX2e, no figure, communication at 2nd International Symposium Quantum Theory and Symmetries, Krakow, 18-21 July, 2

Scientific paper

Two new types of coherent states associated with the $C_{\lambda}$-extended oscillator, where $C_{\lambda}$ is the cyclic group of order $\lambda$, are introduced. They satisfy a unity resolution relation in the $C_{\lambda}$-extended oscillator Fock space (or in some subspace thereof) and give rise to Bargmann representations of the latter, wherein the generators of the $C_{\lambda}$-extended oscillator algebra are realized as differential-operator-valued matrices.

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