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Author  Title  Accn#  Year  Item Type  Claims 
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Oliver Davis Johns 
Analytical mechanics for relativity and quantum mechanics 
024069 
2011 
Book 


1.
 
Title  Analytical mechanics for relativity and quantum mechanics 
Author(s)  Oliver Davis Johns 
Publication  New York, Oxford University Press, 2011. 
Description  xxii, 629p. 
Abstract Note  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 HamiltonJacobi 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 KleinGordon and Dirac equations. The chapter on HamiltonJacobi 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 quantumclassical 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. 
ISBN,Price  9780198567264 : UKP 110.00(HB) 
Classification  530.145.6

Keyword(s)  1. ANALYTICAL MECHANICS
2. CANONICAL TRANSFORMS
3. CLASSICAL MECHANICS
4. HAMILTONIAN MECHANICS
5. LAGRANGIAN MECHANICS
6. MECHANICS
7. QUANTUM MECHANICS
8. RELATIVITY

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
024069 

JOH/024069 
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