dorsal/arxiv
View SchemaCoherent States For SU(3)
| Authors | Manu Mathur, Diptiman Sen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0012099 |
| URL | https://arxiv.org/abs/quant-ph/0012099 |
| DOI | 10.1063/1.1385563 |
| Journal | J.Math.Phys. 42 (2001) 4181-4196 |
Abstract
We define coherent states for SU(3) using six bosonic creation and annihilation operators. These coherent states are explicitly characterized by six complex numbers with constraints. For the completely symmetric representations (n,0) and (0,m), only three of the bosonic operators are required. For mixed representations (n,m), all six operators are required. The coherent states provide a resolution of identity, satisfy the continuity property, and possess a variety of group theoretic properties. We introduce an explicit parameterization of the group SU(3) and the corresponding integration measure. Finally, we discuss the path integral formalism for a problem in which the Hamiltonian is a function of SU(3) operators at each site.
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"abstract": "We define coherent states for SU(3) using six bosonic creation and\nannihilation operators. These coherent states are explicitly characterized by\nsix complex numbers with constraints. For the completely symmetric\nrepresentations (n,0) and (0,m), only three of the bosonic operators are\nrequired. For mixed representations (n,m), all six operators are required. The\ncoherent states provide a resolution of identity, satisfy the continuity\nproperty, and possess a variety of group theoretic properties. We introduce an\nexplicit parameterization of the group SU(3) and the corresponding integration\nmeasure. Finally, we discuss the path integral formalism for a problem in which\nthe Hamiltonian is a function of SU(3) operators at each site.",
"arxiv_id": "quant-ph/0012099",
"authors": [
"Manu Mathur",
"Diptiman Sen"
],
"categories": [
"quant-ph",
"cond-mat",
"hep-th"
],
"doi": "10.1063/1.1385563",
"journal_ref": "J.Math.Phys. 42 (2001) 4181-4196",
"title": "Coherent States For SU(3)",
"url": "https://arxiv.org/abs/quant-ph/0012099"
},
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