Not so Classical Mechanics - Unexpected Symmetries of Classical Motion

Details Not so Classical Mechanics - Unexpected Symmetries of Classical Motion Not so Classical Mechanics - Unexpected Symmetries of Classical Motion

2005-11-07

arxiv.org/abs/physics/0511054v1

Canadian Journal of Physics, Vol 83 (February, 2005) pp 91 -138

Physics

Classical Physics

Einstein Centennial Review Article, 48 pages

Scientific paper

10.1139/p05-003

A survey of topics of recent interest in Hamiltonian and Lagrangian dynamical systems, including accessible discussions of regularization of the central force problem; inequivalent Lagrangians and Hamiltonians; constants of central force motion; a general discussion of higher-order Lagrangians and Hamiltonians with examples from Bohmian quantum mechanics, the Korteweg-de Vries equation and the logistic equation; gauge theories of Newtonian mechanics; classical spin, Grassmann numbers, and pseudomechanics.

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