Mathematics of Quantization and Quantum Fields

ISBN-13: 9781009290838 / Angielski / Miękka / 2023 / 688 str.

Christian (Universite Paris-Sud) Gerard

Opis

This 2013 book, now OA, offers a definitive review of mathematical aspects of quantization and quantum field theory.

Recenzje

'… offers much highly valuable material.' Stig Stenholm, Contemporary Physics

Spis treści

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.