dorsal/arxiv
View SchemaGeneralized Affine Coherent States: A Natural Framework for Quantization of Metric-like Variables
| Authors | Glenn Watson, John R. Klauder |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0001026 |
| URL | https://arxiv.org/abs/quant-ph/0001026 |
| DOI | 10.1063/1.1286033 |
| Journal | J.Math.Phys. 41 (2000) 8072-8082 |
Abstract
Affine variables, which have the virtue of preserving the positive-definite character of matrix-like objects, have been suggested as replacements for the canonical variables of standard quantization schemes, especially in the context of quantum gravity. We develop the kinematics of such variables, discussing suitable coherent states, their associated resolution of unity, polarizations, and finally the realization of the coherent-state overlap function in terms of suitable path-integral formulations.
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"abstract": "Affine variables, which have the virtue of preserving the positive-definite\ncharacter of matrix-like objects, have been suggested as replacements for the\ncanonical variables of standard quantization schemes, especially in the context\nof quantum gravity. We develop the kinematics of such variables, discussing\nsuitable coherent states, their associated resolution of unity, polarizations,\nand finally the realization of the coherent-state overlap function in terms of\nsuitable path-integral formulations.",
"arxiv_id": "quant-ph/0001026",
"authors": [
"Glenn Watson",
"John R. Klauder"
],
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"quant-ph",
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"math.MP"
],
"doi": "10.1063/1.1286033",
"journal_ref": "J.Math.Phys. 41 (2000) 8072-8082",
"title": "Generalized Affine Coherent States: A Natural Framework for Quantization of Metric-like Variables",
"url": "https://arxiv.org/abs/quant-ph/0001026"
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