dorsal/arxiv
View SchemaOn the Dynamics of Generalized Coherent States. I. Exact and Stable Evolution
| Authors | B. A. Nikolov, D. A. Trifonov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407260 |
| URL | https://arxiv.org/abs/quant-ph/0407260 |
| Journal | Commun. JINR E2-81-797 (Dubna, 1981) |
Abstract
The exact and stable evolutions of generalized coherent states (GCS) for quantum systems are considered by making use of the time-dependent integrals of motion method and of the Klauder approach to the relationship between quantum and classical mechanics. It is shown that one can construct for any quantum system overcomplete family of states (OFS), related to the unitary representations of the Lie group G by means of integral of motion generators, and the possibility of using this group as a dynamical symmetry group is pointed out. The relation of the OFS with quantum measurement theory is also established.
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"abstract": "The exact and stable evolutions of generalized coherent states (GCS) for\nquantum systems are considered by making use of the time-dependent integrals of\nmotion method and of the Klauder approach to the relationship between quantum\nand classical mechanics. It is shown that one can construct for any quantum\nsystem overcomplete family of states (OFS), related to the unitary\nrepresentations of the Lie group G by means of integral of motion generators,\nand the possibility of using this group as a dynamical symmetry group is\npointed out. The relation of the OFS with quantum measurement theory is also\nestablished.",
"arxiv_id": "quant-ph/0407260",
"authors": [
"B. A. Nikolov",
"D. A. Trifonov"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"journal_ref": "Commun. JINR E2-81-797 (Dubna, 1981)",
"title": "On the Dynamics of Generalized Coherent States. I. Exact and Stable Evolution",
"url": "https://arxiv.org/abs/quant-ph/0407260"
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