Wave Equations on Lorentzian Manifolds and Quantization

Simple item page
dc.creatorBaer, Christian
dc.creatorGinoux, Nicolas
dc.creatorPfaeffle, Frank
dc.date2008-06-05
dc.date.accessioned2026-07-07T09:42:52Z
dc.date.available2026-07-07T09:42:52Z
dc.descriptionThis 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.
dc.description199 pages, 43 figures, order information for a hardcopy: http://www.ems-ph.org/order.php
dc.identifierhttps://arxiv.org/abs/0806.1036
dc.identifierhttp://arxiv.org/abs/0806.1036
dc.identifierESI Lectures in Mathematics and Physics, European Mathematical Society Publishing House, ISBN 978-3-03719-037-1, March 2007, Softcover
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162345
dc.subjectDifferential Geometry
dc.subject58J45; 35L05; 35L15; 46Lxx; 81T05; 81T20
dc.titleWave Equations on Lorentzian Manifolds and Quantization
dc.typetext

Files

Collections

arXiv