dorsal/arxiv
View SchemaVector coherent state representations, induced representations, and geometric quantization: II. Vector coherent state representations
| Authors | Stephen D. Bartlett, David J. Rowe, Joe Repka |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0201130 |
| URL | https://arxiv.org/abs/quant-ph/0201130 |
| DOI | 10.1088/0305-4470/35/27/307 |
| Journal | J. Phys. A: Math. Gen. 35, 5625 (2002) |
Abstract
It is shown here and in the preceeding paper (quant-ph/0201129) that vector coherent state theory, the theory of induced representations, and geometric quantization provide alternative but equivalent quantizations of an algebraic model. The relationships are useful because some constructions are simpler and more natural from one perspective than another. More importantly, each approach suggests ways of generalizing its counterparts. In this paper, we focus on the construction of quantum models for algebraic systems with intrinsic degrees of freedom. Semi-classical partial quantizations, for which only the intrinsic degrees of freedom are quantized, arise naturally out of this construction. The quantization of the SU(3) and rigid rotor models are considered as examples.
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"abstract": "It is shown here and in the preceeding paper (quant-ph/0201129) that vector\ncoherent state theory, the theory of induced representations, and geometric\nquantization provide alternative but equivalent quantizations of an algebraic\nmodel. The relationships are useful because some constructions are simpler and\nmore natural from one perspective than another. More importantly, each approach\nsuggests ways of generalizing its counterparts. In this paper, we focus on the\nconstruction of quantum models for algebraic systems with intrinsic degrees of\nfreedom. Semi-classical partial quantizations, for which only the intrinsic\ndegrees of freedom are quantized, arise naturally out of this construction. The\nquantization of the SU(3) and rigid rotor models are considered as examples.",
"arxiv_id": "quant-ph/0201130",
"authors": [
"Stephen D. Bartlett",
"David J. Rowe",
"Joe Repka"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/35/27/307",
"journal_ref": "J. Phys. A: Math. Gen. 35, 5625 (2002)",
"title": "Vector coherent state representations, induced representations, and geometric quantization: II. Vector coherent state representations",
"url": "https://arxiv.org/abs/quant-ph/0201130"
},
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