Generalized Coherent States Associated with the C_λ-Extended Oscillator

2001/10/05 by C. Quesne
Physics and Astronomy · Mathematics · #quant-ph #math-ph #math.MP #physics.optics

paper · pdf

published as Proc. Second Int. Symp. on Quantum Theory and Symmetries, Krakow, Poland, July 18-21, 2001, Eds. E. Kapuscik and A. Horzela (World Scientific, Singapore, 2002) pp. 531-536 · 7 pages, LaTeX2e, no figure, communication at 2nd International Symposium Quantum Theory and Symmetries, Krakow, 18-21 July, 2001

arxiv created 2001/10/05 · arxiv updated 2009/11/30

Abstract

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

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