The Schwinger SU(3) Construction - II: Relations between Heisenberg-Weyl and SU(3) Coherent States

Chaturvedi, S and Mukunda, N (2002) The Schwinger SU(3) Construction - II: Relations between Heisenberg-Weyl and SU(3) Coherent States. [Preprint]

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Abstract

The Schwinger oscillator operator representation of SU(3), studied in a previous paper from the representation theory point of view, is analysed to discuss the intimate relationships between standard oscillator coherent state systems and systems of SU(3) coherent states. Both SU(3) standard coherent states, based on choice of highest weight vector as fiducial vector, and certain other specific systems of generalised coherent states, are found to be relevant. A complete analysis is presented, covering all the oscillator coherent states without exception, and amounting to SU(3) harmonic analysis of these states.

Item Type:	Preprint
Additional Information:	J.Math.Phys. 43 (2002) 5278-5309
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003)
Date Deposited:	13 Aug 2004
Last Modified:	19 Sep 2010 04:13
URI:	http://eprints.iisc.ac.in/id/eprint/791

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