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Record Nr. |
UNINA9910151936703321 |
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Autore |
Bär Christian |
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Titolo |
Wave Equations on Lorentzian Manifolds and Quantization [[electronic resource] /] / Christian Bär, Nicolas Ginoux, Frank Pfäffle |
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Pubbl/distr/stampa |
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Zuerich, Switzerland, : European Mathematical Society Publishing House, 2007 |
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ISBN |
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Descrizione fisica |
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1 online resource (202 pages) |
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Collana |
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ESI Lectures in Mathematics and Physics (ESI) |
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Classificazione |
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Soggetti |
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Differential & Riemannian geometry |
Differential equations |
Global analysis, analysis on manifolds |
Partial differential equations |
Differential geometry |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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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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