Published in
IOP Publishing, Journal of Physics A: Mathematical and General, 27(35), p. 5599-5623
DOI: 10.1088/0305-4470/35/27/306
Links
Tools
Vector coherent state representations, induced representations and geometric quantization: I. Scalar coherent state representations
Full text: Download
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.