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Field name	Details
Dewey Class	531.01515 (DDC 22)
Title	Analytical mechanics for relativity and quantum mechanics ([Ebook]) / Oliver Davis Johns.
Author	Johns, Oliver Davis
Other name(s)	Oxford Scholarship Online
Publication	Oxford : Oxford University Press , 2010
Physical Details	1 online resource
Series	Oxford graduate texts
ISBN	9780191717987
Note	Print publication date: 2005. - Published to Oxford Scholarship Online: January 2010
Summary Note	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. A distinguishing feature of the book is its integration of special relativity into teaching of classical mechanics. After a thorough review of the traditional theory, 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 transformations, and Hamilton-Jacobi methods are simplified by the use of this extended theory. And the definition of canonical transformation no longer excludes the Lorenz transformation of special relativity. This is also a book for those who study analytical mechanics to prepare for a critical exploration of quantum mechanics. Comparisons to quantum mechanics appear throughout the text. The extended Hamiltonian theory with time as a coordinate is compared to Dirac’s formalism of primary phase space constraints. 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, such as the development of quantum information technology and the problem of quantising the gravitational field, require a rethinking of the quantum-classical connection.:
Mode of acces to digital resource	Digital reproduction. Oxford : Oxford University Press, 2010. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher)
System details note	Online access to this digital book is restricted to subscribing institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1093/acprof:oso/9780198567264.001.0001
Links to Related Works	Subject References: Mechanics, Analytic . Relativity (Physics) . Authors: Johns, Oliver Davis . Corporate Authors: Oxford Scholarship Online . Series: Oxford graduate texts . Classification: 531.01515 (DDC 22) .

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Analytical mechanics for relativity and quantum mechanics

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