dorsal/arxiv
View SchemaCoherent States and Geometric Phases in Calogero-Sutherland Model
| Authors | Dae-Yup Song, JeongHyeong Park |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0109108 |
| URL | https://arxiv.org/abs/quant-ph/0109108 |
| DOI | 10.1142/S0217751X0200561X |
| Journal | Int.J.Mod.Phys. A17 (2002) 259-268 |
Abstract
Exact coherent states in the Calogero-Sutherland models (of time-dependent parameters) which describe identical harmonic oscillators interacting through inverse-square potentials are constructed, in terms of the classical solutions of a harmonic oscillator. For quasi-periodic coherent states of the time-periodic systems, geometric phases are evaluated. For the $A_{N-1}$ Calogero-Sutherland model, the phase is calculated for a general coherent state. The phases for other models are also considered.
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"abstract": "Exact coherent states in the Calogero-Sutherland models (of time-dependent\nparameters) which describe identical harmonic oscillators interacting through\ninverse-square potentials are constructed, in terms of the classical solutions\nof a harmonic oscillator. For quasi-periodic coherent states of the\ntime-periodic systems, geometric phases are evaluated. For the $A_{N-1}$\nCalogero-Sutherland model, the phase is calculated for a general coherent\nstate. The phases for other models are also considered.",
"arxiv_id": "quant-ph/0109108",
"authors": [
"Dae-Yup Song",
"JeongHyeong Park"
],
"categories": [
"quant-ph",
"hep-th"
],
"doi": "10.1142/S0217751X0200561X",
"journal_ref": "Int.J.Mod.Phys. A17 (2002) 259-268",
"title": "Coherent States and Geometric Phases in Calogero-Sutherland Model",
"url": "https://arxiv.org/abs/quant-ph/0109108"
},
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