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 Wave Equations on Lorentzian Manifolds and Quantization

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PostSubject: Wave Equations on Lorentzian Manifolds and Quantization   Wave Equations on Lorentzian Manifolds and Quantization EmptyThu Jan 21, 2016 7:09 pm

Wave Equations on Lorentzian Manifolds and Quantization 0781ad50d136df9cd4e8dc4dc97fd1f9

Christian Bar, Nicolas Ginoux, Frank Pfaffle, "Wave Equations on Lorentzian Manifolds and Quantization"
2007 | pages: 202 | ISBN: 303719037X | PDF | 1,4 mb

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. A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.



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