dorsal/arxiv
View SchemaCoherent State Quantization of Constraint Systems
| Authors | John R. Klauder |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9604033 |
| URL | https://arxiv.org/abs/quant-ph/9604033 |
| DOI | 10.1006/aphy.1996.5647 |
| Journal | Annals Phys. 254 (1997) 419-453 |
Abstract
A careful reexamination of the quantization of systems with first- and second-class constraints from the point of view of coherent-state phase-space path integration reveals several significant distinctions from more conventional treatments. Most significantly, we emphasize the importance of using path-integral measures for Lagrange multipliers which ensure that the quantum system satisfies the quantum constraint conditions. Our procedures involve no delta-functionals of the classical constraints, no need for gauge fixing of first-class constraints, no need to eliminate second-class constraints, no potentially ambiguous determinants, and have the virtue of resolving differences between canonical and path-integral approaches. Several examples are considered in detail.
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"abstract": "A careful reexamination of the quantization of systems with first- and\nsecond-class constraints from the point of view of coherent-state phase-space\npath integration reveals several significant distinctions from more\nconventional treatments. Most significantly, we emphasize the importance of\nusing path-integral measures for Lagrange multipliers which ensure that the\nquantum system satisfies the quantum constraint conditions. Our procedures\ninvolve no delta-functionals of the classical constraints, no need for gauge\nfixing of first-class constraints, no need to eliminate second-class\nconstraints, no potentially ambiguous determinants, and have the virtue of\nresolving differences between canonical and path-integral approaches. Several\nexamples are considered in detail.",
"arxiv_id": "quant-ph/9604033",
"authors": [
"John R. Klauder"
],
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"quant-ph"
],
"doi": "10.1006/aphy.1996.5647",
"journal_ref": "Annals Phys. 254 (1997) 419-453",
"title": "Coherent State Quantization of Constraint Systems",
"url": "https://arxiv.org/abs/quant-ph/9604033"
},
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