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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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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
Publication: Journal of Indian Institute of Science
Publisher: Indian Institute of Science
Additional Information: Copyright of this article belongs to Indian Institute of 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 09:10
URI: http://eprints.iisc.ac.in/id/eprint/945

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