Operator properties of generalized coherent state systems |
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| Authors: | N Mukunda |
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| Affiliation: | (1) Centre for Theoretical Studies and Department of Physics, Indian Institute of Science, 560 012 Bangalore, India;(2) Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur, 560 064 Bangalore, India |
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| Abstract: | 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. |
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| Keywords: | Generalized coherent states diagonal representation induced representation theory |
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