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Wave Equations on Lorentzian Manifol...

Bär, Christian,

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Wave Equations on Lorentzian Manifolds and Quantization

Record Type:	Electronic resources : Monograph/item
Title/Author:	Wave Equations on Lorentzian Manifolds and Quantization/ Christian Bär, Nicolas Ginoux, Frank Pfäffle
Author:	Bär, Christian,
other author:	Ginoux, Nicolas,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2007,
Description:	1 online resource (202 pages)
Subject:	Differential & Riemannian geometry -
Online resource:	https://doi.org/10.4171/037
Online resource:	https://www.ems-ph.org/img/books/baer_mini.jpg
ISBN:	9783037195376

Wave Equations on Lorentzian Manifolds and Quantization
Bär, Christian,

Wave Equations on Lorentzian Manifolds and Quantization[electronic resource] /Christian Bär, Nicolas Ginoux, Frank Pfäffle - Zuerich, Switzerland :European Mathematical Society Publishing House,2007 - 1 online resource (202 pages) - ESI Lectures in Mathematics and Physics (ESI).

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

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.

ISBN: 9783037195376

Standard No.: 10.4171/037doiSubjects--Topical Terms:

3480810
Differential & Riemannian geometry

Wave Equations on Lorentzian Manifolds and Quantization
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520 $a 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.
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700 1 $a Pfäffle, Frank, $e author. $3 3480883
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