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

C. Quesne
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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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C. Quesne. 2001-10-05. Generalized Coherent States Associated with the $C_λ$-Extended Oscillator. https://arxiv.org/abs/quant-ph/0110036

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