dorsal/arxiv
View SchemaGeneralized coherent states for SU(n) systems
| Authors | Kae Nemoto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0004087 |
| URL | https://arxiv.org/abs/quant-ph/0004087 |
| DOI | 10.1088/0305-4470/33/17/307 |
| Journal | J. Phys. A, 33, 3493-3506 (2000) |
Abstract
Generalized coherent states are developed for SU(n) systems for arbitrary $n$. This is done by first iteratively determining explicit representations for the SU(n) coherent states, and then determining parametric representations useful for applications. For SU(n), the set of coherent states is isomorphic to a coset space $SU(n)/SU(n-1)$, and thus shows the geometrical structure of the coset space. These results provide a convenient $(2n - 1)$--dimensional space for the description of arbitrary SU(n) systems. We further obtain the metric and measure on the coset space, and show some properties of the SU(n) coherent states.
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"abstract": "Generalized coherent states are developed for SU(n) systems for arbitrary\n$n$. This is done by first iteratively determining explicit representations for\nthe SU(n) coherent states, and then determining parametric representations\nuseful for applications. For SU(n), the set of coherent states is isomorphic to\na coset space $SU(n)/SU(n-1)$, and thus shows the geometrical structure of the\ncoset space. These results provide a convenient $(2n - 1)$--dimensional space\nfor the description of arbitrary SU(n) systems. We further obtain the metric\nand measure on the coset space, and show some properties of the SU(n) coherent\nstates.",
"arxiv_id": "quant-ph/0004087",
"authors": [
"Kae Nemoto"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"doi": "10.1088/0305-4470/33/17/307",
"journal_ref": "J. Phys. A, 33, 3493-3506 (2000)",
"title": "Generalized coherent states for SU(n) systems",
"url": "https://arxiv.org/abs/quant-ph/0004087"
},
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