|
| related topics |
| {group, space, representation} |
| {state, states, coherent} |
| {equation, function, exp} |
| {observables, space, algebra} |
| {cos, sin, state} |
| {phase, path, phys} |
| {measurement, state, measurements} |
|
Vector coherent state representations, induced representations, and
geometric quantization: I. Scalar coherent state representations
Stephen D. Bartlett, David J. Rowe, Joe Repka
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0201129
- categories:
- quant-ph
- comments:
- 29 pages, part 1 of two papers, published version
- doi:
- 10.1088/0305-4470/35/27/306
- arxiv_id:
- quant-ph/0201129
- journal_ref:
- J. Phys. A: Math. Gen. 35, 5599 (2002)
- created:
- 2002-01-28
- updated:
- 2002-07-05
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