All Physics Faculty Publications

Title

Not So Classical Mechanics – Unexpected Constants of the Motion

Document Type

Article

Journal/Book Title/Conference

Canadian Journal of Physics

Volume

83

Publication Date

2005

First Page

91

Last Page

138

DOI

10.1139/p05-003

Arxiv Identifier

arXiv:physics/0511054v1

Abstract

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.

Comments

Invited review published by the National Research Council Press in Canadian Journal of Physics. PDF of author post print available for download through link above.

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