dorsal/arxiv
View SchemaGeneralized Coherent States Associated with the $C_{\lambda}$-Extended Oscillator
| Authors | C. Quesne |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0110036 |
| URL | https://arxiv.org/abs/quant-ph/0110036 |
| Journal | 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 |
Abstract
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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"abstract": "Two new types of coherent states associated with the $C_{\\lambda}$-extended\noscillator, where $C_{\\lambda}$ is the cyclic group of order $\\lambda$, are\nintroduced. They satisfy a unity resolution relation in the\n$C_{\\lambda}$-extended oscillator Fock space (or in some subspace thereof) and\ngive rise to Bargmann representations of the latter, wherein the generators of\nthe $C_{\\lambda}$-extended oscillator algebra are realized as\ndifferential-operator-valued matrices.",
"arxiv_id": "quant-ph/0110036",
"authors": [
"C. Quesne"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP",
"physics.optics"
],
"journal_ref": "Proc. Second Int. Symp. on Quantum Theory and Symmetries, Krakow,\n Poland, July 18-21, 2001, Eds. E. Kapuscik and A. Horzela (World Scientific,\n Singapore, 2002) pp. 531-536",
"title": "Generalized Coherent States Associated with the $C_{\\lambda}$-Extended Oscillator",
"url": "https://arxiv.org/abs/quant-ph/0110036"
},
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