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 mathematical...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Dereziński, Jan, 1957- (Autor), Gérard, Christian, 1960- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2013.
Colección:Cambridge monographs on mathematical physics.
Temas:
Geometric quantization.
Quantum theory > Mathematics.
Quantification géométrique.
Théorie quantique > Mathématiques.
Nuclear physics.
SCIENCE > Mathematical Physics.
SCIENCE > Physics > Quantum Theory.
Geometric quantization
Quantum theory > Mathematics
Quantum field theory
Acceso en línea:Texto completo
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.

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