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

S. D. Bartlett, D. J. Rowe, J. Repka

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)5599-5623
Number of pages25
JournalJournal of Physics A: Mathematical and General
Volume35
Issue number27
DOIs
Publication statusPublished - 2002

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