Quantum kinematic approach to the geometric phase.II. The case of unitary group representations

Mukunda, N and Simon, R (1993) Quantum kinematic approach to the geometric phase.II. The case of unitary group representations. In: Annals of Physics, 228 (2). pp. 269-340.

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Abstract

The quantum kinematic approach to geometric phases, developed in a preceding paper, is applied to the case of phases arising from unitary representations of Lie groups on Hilbert space. Specific features of this situation are brought out by fully exploiting the (Lie) algebraic and (differential) geometric aspects that are naturally available. Systematic classification of distinct situatians that can arise, simplifications based on the Wigner-Eckart theorem, and existence of gauge type invariances in the expression for the geometric phase, are all explained. Numerous examples illustrating the formalism are presented.

Item Type:	Journal Article
Publication:	Annals of Physics
Publisher:	Elsevier Science
Additional Information:	Copyright of this article belongs to Elsevier Science.
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003)
Date Deposited:	31 Aug 2004
Last Modified:	09 Jan 2012 09:33
URI:	http://eprints.iisc.ac.in/id/eprint/952

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