Symplectic techniques in mechanics and optics

N MUKUNDA

Abstract


We give a brief introduction to the real symplectic groups and the geometry of canonical variables that they describe. The role of the metapleclic groups in the conlext 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 arc outlined.

Keywords


Symplectic groups; symplectic geometry; metaplectic groups; uncertainly principles; squeezed states.

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