Mathematics of Quantization and Quantum Fields

Informationen zum Autor Jan Derezinski is a Professor in the Faculty of Physics at the University of Warsaw. His research interests cover various aspects of quantum physics and quantum field theory, especially from the rigorous point of view. Klappentext A unique and definitive review of mathematical aspects of quantization and quantum field theory for graduate students and researchers. Zusammenfassung 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. Inhaltsverzeichnis Preface; 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; Subject index; Symbols index.

Product details

• Authors: Jan Derezi Ski, Jan (Uniwersytet Warszawski Derezinski, Jan Gerard Derezinski, Jan Dereziński, Christian G. Rard, Christian Gerard, Christian Gérard
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 07.03.2013
• EAN: 9781107011113
• ISBN: 978-1-107-01111-3
• No. of pages: 688
• Series: Cambridge Monographs on Mathematical Physics; Cambridge Monographs on Mathematical Physics
• Subject: Natural sciences, medicine, IT, technology > Physics, astronomy > Miscellaneous