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作者 Cnops, Jan
書名 An introduction to Dirac operators on manifolds [electronic resource] / Jan Cnops
出版項 Boston : Birkhäuser, 2002
國際標準書號 9781461200659 (electronic bk.)
1461200652 (electronic bk.)
book jacket
說明 1 online resource (x, 211 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
系列 Progress in mathematical physics ; v. 24
Progress in mathematical physics ; v. 24
附註 Includes bibliographical references (p. [195]-204) and index
Use copy Restrictions unspecified star MiAaHDL
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2011. MiAaHDL
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL
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 self-contained 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 readers---mathematical physicists, physicists and mathematicians from diverse areas---will 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
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