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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Analytical Mechanics for Relativity and Quantum Mechanics (Hardcover, 2nd Revised edition)
Loot Price: R2,329
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Analytical Mechanics for Relativity and Quantum Mechanics (Hardcover, 2nd Revised edition)
Series: Oxford Graduate Texts
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Analytical Mechanics for Relativity and Quantum Mechanics is 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
introductory graduate level. 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, 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 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
familiarize the student with similar techniques in quantum theory.
Several of the current fundamental problems in theoretical physics
- the development of quantum information technology, and the
problem of quantizing the gravitational field, to name two -
require a rethinking of the quantum-classical connection.
Graduate students preparing for research careers will find a
graduate mechanics course based on this book to be an essential
bridge between their undergraduate training and advanced study in
analytical mechanics, relativity, and quantum mechanics.
To request a copy of the Solutions Manual, visit: http:
//global.oup.com/uk/academic/physics/admin/solutions
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