Symplectic Techniques in Physics
Abstract
Victor Guillemin and Shlomo Sternberg 1984 Cambridge: Cambridge University Press xi + 468 pp price £32.50 ISBN 0 521 24866 3 The authors explain, in this book, how a number of laws of physics can be expressed symplectically, that is in terms of antisymmetric bilinear forms (such as Poisson brackets). They explore in detail several levels in the geometrisation of optics, from rotationally symmetric linear ray theory (Gaussian optics), through general geometrical and physical optics, up to Maxwell's electromagnetism.
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