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The chapter on relativistic mechanics shows how to use covariant Hamiltonian theory to write the Klein-Gordon and Dirac equations. The chapter on Hamilton-Jacobi theory includes a discussion of the closely related Bohm hidden variable model of quantum mechanics. Classical mechanics itself is presented with an emphasis on methods such as linear vector operators and dyadics that will familiarise the student with similar techniques in quantum theory.

Several of the current fundamental problems in theoretical physics require a rethinking of the quantum—classical connection. Keywords: analytical mechanics , classical mechanics , relativity , quantum theory , Hamiltonian methods , transformable coordinate , fixed parameter , Newtonian physics , covariant Langrangians , canonical transformations.

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OSO version 0. University Press Scholarship Online. Sign in. Not registered? Sign up. Publications Pages Publications Pages. Search my Subject Specializations: Select Users without a subscription are not able to see the full content. 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.

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