說明 
1 online resource (x, 211 pages) 

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系列 
Progress in mathematical physics ; v. 24 

Progress in mathematical physics ; v. 24

附註 
Includes bibliographical references (p. [195]204) and index 

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Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2011. MiAaHDL 

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Dirac operators play an important role in several domains of mathematics and physics, for example: index theory, elliptic pseudodifferential operators, electromagnetism, particle physics, and the representation theory of Lie groups. In this essentially selfcontained work, the basic ideas underlying the concept of Dirac operators are explored. Starting with Clifford algebras and the fundamentals of differential geometry, the text focuses on two main properties, namely, conformal invariance, which determines the local behavior of the operator, and the unique continuation property dominating its global behavior. Spin groups and spinor bundles are covered, as well as the relations with their classical counterparts, orthogonal groups and Clifford bundles. The chapters on Clifford algebras and the fundamentals of differential geometry can be used as an introduction to the above topics, and are suitable for senior undergraduate and graduate students. The other chapters are also accessible at this level so that this text requires very little previous knowledge of the domains covered. The reader will benefit, however, from some knowledge of complex analysis, which gives the simplest example of a Dirac operator. More advanced readersmathematical physicists, physicists and mathematicians from diverse areaswill appreciate the fresh approach to the theory as well as the new results on boundary value theory 

Description based on print version record 
鏈接 
Print version: (DLC) 2002025563 (OCoLC)49627697 
主題 
Clifford algebras


Quantum theory


Manifolds (Mathematics)


Mathematical physics


Clifford algebras. fast (OCoLC)fst00864221


Manifolds (Mathematics) fast (OCoLC)fst01007726


Mathematical physics. fast (OCoLC)fst01012104


Quantum theory. fast (OCoLC)fst01085128


Electronic books

