Coherent states and geometric quantization

Anatol Odzijewicz

H. P. Berg, Jan Tarski

Stephen D. Bartlett, DAVID J. ROWE, Joe Repka

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.

S. Twareque Ali

John R. Klauder

A fully geometric procedure of quantization that utilizes a natural and necessary metric on phase space is reviewed and briefly related to the goals of the program of geometric quantization.

M. C. Ashworth