dorsal/arxiv
View SchemaThe Schwinger SU(3) construction - I: Multiplicity problem and relation to induced representations
| Authors | S. Chaturvedi, N. Mukunda |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0204119 |
| URL | https://arxiv.org/abs/quant-ph/0204119 |
| DOI | 10.1063/1.1508810 |
| Journal | J.Math.Phys. 43 (2002) 5262-5277 |
Abstract
The Schwinger oscillator operator representation of SU(3) is analysed with particular reference to the problem of multiplicity of irreducible representations. It is shown that with the use of an $Sp(2,R)$ unitary representation commuting with the SU(3) representation, the infinity of occurrences of each SU(3) irreducible representation can be handled in complete detail. A natural `generating representation' for SU(3), containing each irreducible representation exactly once, is identified within a subspace of the Schwinger construction; and this is shown to be equivalent to an induced representation of SU(3).
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"abstract": "The Schwinger oscillator operator representation of SU(3) is analysed with\nparticular reference to the problem of multiplicity of irreducible\nrepresentations. It is shown that with the use of an $Sp(2,R)$ unitary\nrepresentation commuting with the SU(3) representation, the infinity of\noccurrences of each SU(3) irreducible representation can be handled in complete\ndetail. A natural `generating representation\u0027 for SU(3), containing each\nirreducible representation exactly once, is identified within a subspace of the\nSchwinger construction; and this is shown to be equivalent to an induced\nrepresentation of SU(3).",
"arxiv_id": "quant-ph/0204119",
"authors": [
"S. Chaturvedi",
"N. Mukunda"
],
"categories": [
"quant-ph",
"hep-th"
],
"doi": "10.1063/1.1508810",
"journal_ref": "J.Math.Phys. 43 (2002) 5262-5277",
"title": "The Schwinger SU(3) construction - I: Multiplicity problem and relation to induced representations",
"url": "https://arxiv.org/abs/quant-ph/0204119"
},
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