Mathematical Theory of Quantum Fields

Erscheinungsjahr 2009
ISBN: 978-0-19-956640-2
Verlag: OUP Oxford

Buch, Englisch, 248 Seiten, Print PDF, Format (B × H): 156 mm x 234 mm, Gewicht: 386 g

This is an introduction to the mathematical foundations of quantum field theory, using operator algebraic methods and emphasizing the link between the mathematical formulations and related physical concepts. It starts with a general probabilistic description of physics, which encompasses both classical and quantum physics. The basic key physical notions are clarified at this point. It then introduces operator algebraic methods for quantum theory, and goes on to discuss the theory of special relativity, scattering theory, and sector theory in this context.

Autoren/Hrsg.

Araki, Huzihiro

Weitere Mitwirkende

Carow-Watamura, Ursula

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Quantenphysik
• Mathematik | Informatik EDV | Informatik Informatik Berechenbarkeitstheorie, Komplexitätstheorie

Inhaltsverzeichnis

- States and observables

- Quantum theory

- The relativistic symmetry

- Local observables

- Scattering theory

- Sector theory

- Appendix A: Hilbert space and operators

- Appendix B: Operator algebras

- Appendix C: Free fields

Über Autor(innen)

Professor Huzihiro Araki, Department of Mathematics, Faculty of Science and Technology, Science University of Tokyo, 2641 Yamazaki, Nuda-city, Chiba-kem 278, JAPAN. Tel: [phone]; fax: [phone]; email: [e-mail]