Mathematics of Quantization and Quantum Fields
ISBN: 9781107011113 | 1107011116
Format: HardcoverPublisher: Cambridge Univ Pr
Pub. Date: 5/31/2013
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Filling a gap in the current literature, this is a unique and definitive guide to the basic mathematical framework of quantization and quantum field theory. Unifying a range of topics that are currently scattered throughout the literature, it is essential reading for graduate students and researchers in mathematics and physics.
Unifying a range of topics that are currently scattered throughout the literature, this book offers a unique and definitive review of mathematical aspects of quantization and quantum field t... MORE
Unifying a range of topics that are currently scattered throughout the literature, this book offers a unique and definitive review of mathematical aspects of quantization and quantum field t... MORE
| Preface | |
| Vector spaces | |
| Operators in Hilbert spaces | |
| Tensor algebras | |
| Analysis in L2(Rd) | |
| Measures | |
| Algebras | |
| Anti-symmetric calculus | |
| Canonical commutation relations | |
| CCR on Fock spaces | |
| Symplectic invariance of CCR in finite dimensions | |
| Symplectic invariance... MORE | |
| Canonical anti-commutation relations | |
| CAR on Fock spaces | |
| Orthogonal invariance of CAR algebras | |
| Clifford relations | |
| Orthogonal invariance of the CAR on Fock spaces | |
| Quasi-free states | |
| Dynamics of quantum fields | |
| Quantum fields on space-time | |
| Diagrammatics | |
| Euclidean approach for bosons | |
| Interacting bosonic fields | |
| Subject index | |
| Symbols index | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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