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Lagrangian & Hamiltonian Mechanics

by Calkin M G

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Book Overview  This book takes the student from the Newtonian mechanics typically taught in the first and the second year to the areas of recent resear...

 

This book takes the student from the Newtonian mechanics typically taught in the first and the second year to the areas of recent research. The discussion of topics such as invariance, Hamiltonian-Jacobi theory, and action-angle variables is especially complete; the last includes a discussion of the Hannay angle, not found in other texts. The final chapter is an introduction to the dynamics of nonlinear nondissipative systems. Connections with other areas of physics which the student is likely to be studying at the same time, such as electromagnetism and quantum mechanics, are made where possible. There is thus a discussion of electromagnetic field momentum and mechanical"hidden" momentum in the quasi-static interaction of an electric charge and a magnet. This discussion, among other things explains the"(e/c)A" term in the canonical momentum of a charged particle in an electromagnetic field. There is also a brief introduction to path integrals and their connection with Hamilton's principle, and the relation between the Hamilton-Jacobi equation of mechanics, the eikonal equation of optics, and the Schr

Book Details Format: Hardcover | Pages: 216 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9810226721
FormatHardcover
Pages216
LanguageEnglish
ISBN9810226721
EAN9789810226725
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date1970-01-01
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight1.05 Pounds
Length8.6 Inches
Width6.1 Inches
Height0.8 Inches
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