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Prog. Theor. Phys. Vol. 99 No. 3 (1998) pp. 467-476

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Geometric Quantization on a Coset Space G/H

Masaomi Kimura

Institute for Cosmic Ray Research, University of Tokyo
Tanashi 188, Japan

(Received October 30, 1997)

Abstract:

Geometric quantization is performed on a coset space G/H, which is regarded as a configuration space. Based on a novel 2-form on T*(G/H), it is found that the geometric quantization reproduces the two main results derived by different approaches, that is, Mackey's result that there exist inequivalent quantizations labeled by irreducible representations of H, and McMullan and Tsutsui's result that certain quantization conditions should be satisfied for reproducing the inequivalent quantizations in the generalized Dirac approach.


URL : http://ptp.ipap.jp/link?PTP/99/467/
DOI : 10.1143/PTP.99.467

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