Physics – Quantum Physics
Scientific paper
2002-01-28
J. Phys. A: Math. Gen. 35, 5599 (2002)
Physics
Quantum Physics
29 pages, part 1 of two papers, published version
Scientific paper
10.1088/0305-4470/35/27/306
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.
Bartlett Stephen D.
Repka Joe
Rowe David J.
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