Mathematics of quantization and quantum fields

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 theory. The authors present both basic and more advanced topics of quantum field theory in a mathematically con...

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Detalles Bibliográficos
Otros Autores: Dereziński, Jan, 1957- autor (autor), Gérard, Christian, 1960- autor
Formato: Libro electrónico
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press 2013.
Colección:CUP ebooks.
Cambridge monographs on mathematical physics.
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b45436861*spi
Tabla de Contenidos:
  • 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. Canonical commutation relations
  • 9. CCR on Fock spaces
  • 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.