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Symplectic techniques in mechanics and optics

Mukunda, N (1995) Symplectic techniques in mechanics and optics. In: Journal of Indian Institute of Science, 75 (3). pp. 289-296.

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Abstract

We give a brief introduction to the real symplectic groups and the geometry of canonical variables that they describe. The role of the metaplectic groups in the context of quantum mechanics is highlighted. Several applications of symplectic techniques to classical ray and wave optics, noise matrices and the uncertainty relations, squeezing, and Gaussian states are outlined.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Indian Institute of Science.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for Theoretical Studies
Date Deposited: 31 Aug 2004
Last Modified: 09 Jan 2012 09:10
URI: http://eprints.iisc.ernet.in/id/eprint/945

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