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Generalized Coherent States and Operator Descriptions in Quantum Mechanics

Mukunda, N (2003) Generalized Coherent States and Operator Descriptions in Quantum Mechanics. In: Modern Physics Letters A, 18 (33-35). pp. 2405-2414.

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Abstract

The possibility of describing noncommuting operators in quantum mechanics by classical type functions, and the associated expression of operator multiplication, is of considerable interest. The well known Wigner-Weyl-Moyal theory is an important example. Another is the diagonal representation of operators using standard coherent states. We develop general necessary and sufficient conditions for the existence of the diagonal representation in the context of a family of generalised coherent states associated with any unitary irreducible Lie group representation. Several examples illustrating these conditions, and interesting results in the Heisenberg-Weyl case, are presented".

Item Type: Journal Article
Additional Information: Copyright of this article belongs to World Scientific Publishing
Keywords: Generalized coherent states; Heisenberg- Weyl group; Operator diagonal representations; Induced representation theory;
Department/Centre: Division of Physical & Mathematical Sciences > Centre for Theoretical Studies
Date Deposited: 23 Jun 2007
Last Modified: 19 Sep 2010 04:36
URI: http://eprints.iisc.ernet.in/id/eprint/10169

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