Book contents
- Frontmatter
- Dedication
- Contents
- Introduction
- 1 Vector spaces
- 2 Operators in Hilbert spaces
- 3 Tensor algebras
- 4 Analysis in L2(Rd)
- 5 Measures
- 6 Algebras
- 7 Anti–symmetric calculus
- 8 Periodic magnetic channels
- 9 CCR on Fock space
- 10 Symplectic invariance of CCR in finite–dimensions
- 11 Symplectic invariance of the CCR on Fock spaces
- 12 Canonical anti–commutation relations
- 13 CAR on Fock spaces
- 14 Orthogonal invariance of CAR algebras
- 15 Clifford relations
- 16 Orthogonal invariance of the CAR on Fock spaces
- 17 Quasi–free states
- 18 Dynamics of quantum fields
- 19 Quantum fields on space–time
- 20 Diagrammatics
- 21 Euclidean approach for bosons
- 22 Interacting bosonic fields
- References
- Symbols index
- Subject index
1 - Vector spaces
Published online by Cambridge University Press: 04 November 2022
Book contents
- Frontmatter
- Dedication
- Contents
- Introduction
- 1 Vector spaces
- 2 Operators in Hilbert spaces
- 3 Tensor algebras
- 4 Analysis in L2(Rd)
- 5 Measures
- 6 Algebras
- 7 Anti–symmetric calculus
- 8 Periodic magnetic channels
- 9 CCR on Fock space
- 10 Symplectic invariance of CCR in finite–dimensions
- 11 Symplectic invariance of the CCR on Fock spaces
- 12 Canonical anti–commutation relations
- 13 CAR on Fock spaces
- 14 Orthogonal invariance of CAR algebras
- 15 Clifford relations
- 16 Orthogonal invariance of the CAR on Fock spaces
- 17 Quasi–free states
- 18 Dynamics of quantum fields
- 19 Quantum fields on space–time
- 20 Diagrammatics
- 21 Euclidean approach for bosons
- 22 Interacting bosonic fields
- References
- Symbols index
- Subject index
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- Mathematics of Quantization and Quantum Fields , pp. 8 - 35Publisher: Cambridge University PressPrint publication year: 2023
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This content is Open Access and distributed under the terms of the Creative Commons Attribution licence CC-BY-NC-ND 4.0 https://creativecommons.org/cclicenses/
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