Vector coherent state representations, induced representations, and geometric quantization: I. Scalar coherent state representations

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dc.creatorBartlett, Stephen D.
dc.creatorRowe, David J.
dc.creatorRepka, Joe
dc.date2002-01-28
dc.date2002-07-05
dc.date.accessioned2026-07-07T06:03:36Z
dc.date.available2026-07-07T06:03:36Z
dc.descriptionCoherent 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.
dc.description29 pages, part 1 of two papers, published version
dc.identifierhttps://arxiv.org/abs/quant-ph/0201129
dc.identifierhttp://arxiv.org/abs/quant-ph/0201129
dc.identifierJ. Phys. A: Math. Gen. 35, 5599 (2002)
dc.identifierdoi:10.1088/0305-4470/35/27/306
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90000
dc.subjectQuantum Physics
dc.titleVector coherent state representations, induced representations, and geometric quantization: I. Scalar coherent state representations
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