dorsal/arxiv
View SchemaVector coherent state representations, induced representations, and geometric quantization: I. Scalar coherent state representations
| Authors | Stephen D. Bartlett, David J. Rowe, Joe Repka |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0201129 |
| URL | https://arxiv.org/abs/quant-ph/0201129 |
| DOI | 10.1088/0305-4470/35/27/306 |
| Journal | J. Phys. A: Math. Gen. 35, 5599 (2002) |
Abstract
Coherent state theory is shown to reproduce three categories of representations of the spectrum generating algebra for an algebraic model: (i) classical realizations which are the starting point for geometric quantization; (ii) induced unitary representations corresponding to prequantization; and (iii) irreducible unitary representations obtained in geometric quantization by choice of a polarization. These representations establish an intimate relation between coherent state theory and geometric quantization in the context of induced representations.
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"abstract": "Coherent state theory is shown to reproduce three categories of\nrepresentations of the spectrum generating algebra for an algebraic model: (i)\nclassical realizations which are the starting point for geometric quantization;\n(ii) induced unitary representations corresponding to prequantization; and\n(iii) irreducible unitary representations obtained in geometric quantization by\nchoice of a polarization. These representations establish an intimate relation\nbetween coherent state theory and geometric quantization in the context of\ninduced representations.",
"arxiv_id": "quant-ph/0201129",
"authors": [
"Stephen D. Bartlett",
"David J. Rowe",
"Joe Repka"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/35/27/306",
"journal_ref": "J. Phys. A: Math. Gen. 35, 5599 (2002)",
"title": "Vector coherent state representations, induced representations, and geometric quantization: I. Scalar coherent state representations",
"url": "https://arxiv.org/abs/quant-ph/0201129"
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