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Wir sind gerne für Sie daThe Dirac operator has many useful applications in theoretical physics and mathematics. This book provides a clear, concise and self-contained introduction to the global theory of the Dirac operator and to the analysis of spectral asymptotics with local or non-local boundary conditions. The theory is introduced at a level suitable for graduate students. Numerous examples are then given to illustrate the peculiar properties of the Dirac operator, and the role of boundary conditions in heat-kernel asymptotics and quantum field theory. Topics covered include the introduction of spin-structures in Riemannian and Lorentzian manifolds; applications of index theory; heat-kernel asymptotics for operators of Laplace type; quark boundary conditions; one-loop quantum cosmology; conformally covariant operators; and the role of the Dirac operator in some recent investigations of four-manifolds. This volume provides graduate students with a rigorous introduction and researchers with a valuable reference to the Dirac operator and its applications in theoretical physics.
Produkteigenschaften
- Artikelnummer: 9780521648622
- Medium: Buch
- ISBN: 978-0-521-64862-2
- Verlag: Cambridge University Press
- Erscheinungstermin: 10.12.2005
- Sprache(n): Englisch
- Auflage: Erscheinungsjahr 2005
- Serie: Cambridge Lecture Notes in Physics
- Produktform: Kartoniert, Paperback
- Gewicht: 371 g
- Seiten: 223
- Format (B x H x T): 152 x 229 x 14 mm
- Ausgabetyp: Kein, Unbekannt