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Generalized coherent states; diagonal representation; induced representation theory

The main properties of standard quantum mechanical coherent states and the two generalizations of Klauder and of Perelomov are reviewed. For a system of generalized coherent states in the latter sense, necessary and sufficient conditions for existence of a diagonal coherent stable representation for all Hilbert-Schmidt operators are obtained. The main ingredients are Clebsch-Gordan theory and induced representation theory.

N Mukunda^{1 2}

1. Centre for Theoretical Studies and Department of Physics, Indian Institute of Science, Bangalore - 560 012, India
2. Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur, Bangalore - 560 064, India

Published

3 February 2001