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Wave Equations on Lorentzian Manifolds and Quantization

Wave Equations on Lorentzian Manifolds and Quantization
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Title Wave Equations on Lorentzian Manifolds and Quantization ([EBook] /) / Christian Bär, Nicolas Ginoux, Frank Pfäffle
Author Bär, Christian
Added Personal Name Ginoux, Nicolas
Pfäffle, Frank
Publication Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2007
Physical Details 1 online resource (202 pages)
Series ESI Lectures in Mathematics and Physics (ESI)
ISBN 9783037195376
Summary Note This book provides a detailed introduction to linear wave equations on Lorentzian manifolds (for vector-bundle valued fields). After a collection of preliminary material in the first chapter one finds in the second chapter the construction of local fundamental solutions together with their Hadamard expansion. The third chapter establishes the existence and uniqueness of global fundamental solutions on globally hyperbolic spacetimes and discusses Green's operators and well-posedness of the Cauchy problem. The last chapter is devoted to field quantization in the sense of algebraic quantum field theory. The necessary basics on C*-algebras and CCR-representations are developed in full detail. The text provides a self-contained introduction to these topics addressed to graduate students in mathematics and physics. At the same time it is intended as a reference for researchers in global analysis, general relativity, and quantum field theory.:
Mode of acces to digital resource Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site https://doi.org/10.4171/037
See Also https://www.ems-ph.org/img/books/baer_mini.jpg
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