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Analytical Mechanics for Relativity and Quantum Mechanics (Oxford Graduate Texts) by Oliver Davis Johns is a nonfiction available to read on EtoBox.

What is Analytical Mechanics for Relativity and Quantum Mechanics (Oxford Graduate Texts) about?

This book provides an innovative and mathematically sound treatment of the foundations of analytical mechanics and the relation of classical mechanics to relativity and quantum theory. It is intended for use at the graduate level. A distinguishing feature of the book is its integration of special relativity into the teaching of classical mechanics. Extended Lagrangian and Hamiltonian methods are introduced that treat time as a transformable coordinate rather than the fixed parameter of Newtonian physics. Advanced topics such as covariant Lagrangians and Hamiltonians, canonical transformations, and the Hamilton-Jacobi equation are developed using this extended theory. This permits the Lorentz transformation of special relativity to become a canonical transformation. This is also a book for those who study analytical mechanics as a preliminary to a critical exploration of quantum mechanics. Comparisons to quantum mechanics appear throughout the text, and classical mechanics itself is presented in a way that will aid the reader in the study of quantum theory. A chapter is devoted to linear vector operators and dyadics, including a comparison to the bra-ket notation of quantum mec

Who reads Analytical Mechanics for Relativity and Quantum Mechanics (Oxford Graduate Texts)?

Author

Oliver Davis Johns

Publisher

Oxford University PressOxford

Published

2005

Language

EN

ISBN

9781282365711

Category

nonfiction

Subjects

Science, Mathematics, Physics