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Operator properties of generalized coherent state systems

Mukunda, N (2001) Operator properties of generalized coherent state systems. In: Pramana Journal of Physics, 56 (2&3). pp. 245-265.


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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.

Item Type: Journal Article
Publication: Pramana Journal of Physics
Publisher: Indian Academy Sciences
Additional Information: Copyright for this article belongs to Indian Academy of Sciences.
Keywords: Generalized coherent states;diagonal representation;induced representation theory
Department/Centre: Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003)
Division of Physical & Mathematical Sciences > Physics
Date Deposited: 15 Sep 2004
Last Modified: 19 Sep 2010 04:16
URI: http://eprints.iisc.ac.in/id/eprint/1974

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