Description

Book Synopsis
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.

Trade Review
'the self-contained monograph provides an introduction suitable for mathematics graduates to the basic properties of quantum fields' Aslib

Table of Contents
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

Mathematical Theory of Quantum Fields

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    A Hardback by Huzihiro Araki, Ursula Carow-Watamura

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      Book details

      Publisher Oxford University Press
      Published 10/21/1999 12:00:00 AM
      ISBN-13 9780198517733
      978-0198517733
      ISBN-10 0198517734
      Also in:
      Mathematics Algebra Science & Nature Maths for scientists

      Description

      Book Synopsis
      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.

      Trade Review
      'the self-contained monograph provides an introduction suitable for mathematics graduates to the basic properties of quantum fields' Aslib

      Table of Contents
      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

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