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arXiv · quant-ph/0201129

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

Stephen D. Bartlett·David J. Rowe·Joe Repka
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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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Stephen D. Bartlett, David J. Rowe, Joe Repka. 2002-07-05. Vector coherent state representations, induced representations, and geometric quantization: I. Scalar coherent state representations. https://doi.org/10.1088/0305-4470%2F35%2F27%2F306

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