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Analytical Mechanics for Relativity and Quantum Mechanics
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Analytical Mechanics for Relativity and Quantum Mechanics

Oliver Johns

Abstract

This book provides an innovative and mathematically sound treatment of the foundations of analytical mechanics, and of the relation of classical mechanics to relativity and quantum theory. A distinguishing feature is its integration of special relativity into the teaching of classical mechanics. After a thorough review of the traditional theory, Part II of the book introduces extended Lagrangian and Hamiltonian methods that treat time as a transformable coordinate rather than the fixed parameter of Newtonian physics. Advanced topics such as covariant Langrangians and Hamiltonians, canonical tr ... More

Keywords: analytical mechanics, classical mechanics, relativity, quantum theory, Hamiltonian methods, transformable coordinate, fixed parameter, Newtonian physics, covariant Langrangians, canonical transformations

Bibliographic Information

Print publication date: 2011 Print ISBN-13: 9780191001628
Published to Oxford Scholarship Online: December 2013 DOI:10.1093/acprof:oso/9780191001628.001.0001

Authors

Affiliations are at time of print publication.

Oliver Johns, author
Emeritus, Department of Physics, San Francisco State University

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