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Microlocal Analysis of Quantum Field...

Gérard, Christian,

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Microlocal Analysis of Quantum Fields on Curved Spacetimes

Record Type:	Electronic resources : Monograph/item
Title/Author:	Microlocal Analysis of Quantum Fields on Curved Spacetimes/ Christian Gérard
Author:	Gérard, Christian,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2019,
Description:	1 online resource (228 pages)
Subject:	Quantum physics (quantum mechanics) -
Online resource:	https://doi.org/10.4171/094
Online resource:	https://www.ems-ph.org/img/books/gerard_mini.jpg
ISBN:	9783037195949

Microlocal Analysis of Quantum Fields on Curved Spacetimes
Gérard, Christian,

Microlocal Analysis of Quantum Fields on Curved Spacetimes[electronic resource] /Christian Gérard - Zuerich, Switzerland :European Mathematical Society Publishing House,2019 - 1 online resource (228 pages) - ESI Lectures in Mathematics and Physics (ESI).

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

We focus on free fields and the corresponding quasi-free states and more precisely on Klein-Gordon fields and Dirac fields. The first chapters are devoted to preliminary material on CCR*-algebras, quasi-free states, wave equations on Lorentzian manifolds, microlocal analysis and to the important Hadamard condition, characterizing physically acceptable quantum states on curved spacetimes. In the later chapters more advanced tools of microlocal analysis, like the global pseudo-differential calculus on non-compact manifolds, are used to construct and study Hadamard states for Klein-Gordon fields by various methods, in particular by scattering theory and by Wick rotation arguments. In the last chapter the fermionic theory of free Dirac quantum fields on Lorentzian manifolds is described in some detail. This monograph is addressed to both mathematicians and mathematical physicists. The first will be able to use it as a rigorous exposition of free quantum fields on curved spacetimes and as an introduction to some interesting and physically important problems arising in this domain. The second may find this text a useful introduction and motivation to the use of more advanced tools of microlocal analysis in this area of research.

ISBN: 9783037195949

Standard No.: 10.4171/094doiSubjects--Topical Terms:

3480869
Quantum physics (quantum mechanics)

Microlocal Analysis of Quantum Fields on Curved Spacetimes
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