rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Mathematical methods of many-body quantum field theory
  title info:
    title: MATHnetBASE
  name:
    name part: Lehmann, Detlef
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Taylor & Francis
  name:
    name part: Taylor and Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    date issued: 2004
    edition: First edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (264 pages) : 22 illustrations.
  abstract: Mathematical Methods of Many-Body Quantum Field Theory offers a comprehensive, mathematically rigorous treatment of many-body physics. It develops the mathematical tools for describing quantum many-body systems and applies them to the many-electron system. These tools include the formalism of second quantization, field theoretical perturbation theory, functional integral methods, bosonic and fermionic, and estimation and summation techniques for Feynman diagrams. Among the physical effects discussed in this context are BCS superconductivity, s-wave and higher l-wave, and the fractional quantum Hall effect. While the presentation is mathematically rigorous, the author does not focus solely on precise definitions and proofs, but also shows how to actually perform the computations.Presenting many recent advances and clarifying difficult concepts, this book provides the background, results, and detail needed to further explore the issue of when the standard approximation schemes in this field actually work and when they break down. At the same time, its clear explanations and methodical, step-by-step calculations shed welcome light on the established physics literature.
  table of contents: chapter 1 Chapter 1 -- chapter 2 Chapter 2 / Second Quantization -- chapter 3 Chapter 3 / Perturbation Theory -- chapter 4 Chapter 4 / Gaussian Integration -- chapter 5 Chapter 5 / Bosonic Functional Integral Representation -- chapter 6 Chapter 6 / Symmetry Breaking -- chapter 7 Chapter 7 / Magnetic Field -- chapter 8 Chapter 8 / Feynman Diagrams -- chapter 9 Chapter 9 / Renormalization Group Methods -- chapter 10 Chapter 10 / Resummation of Perturbation Series.
  note: by Detlef Lehmann.
  subject:
    topic: Many-body problem
  subject:
    topic: Quantum field theory
    topic: Mathematical models
  subject:
    topic: SCIENCE / Quantum Theory
  subject:
    topic: SCIENCE
    topic: Waves & Wave Mechanics
  classification: QC174.17.P7
  classification: 530.14/3
  related item:
    title info:
      title: Chapman & Hall/CRC research notes in mathematics series
  identifier: 9780429178207
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record creation date: 180706
    record change date: 20220613175736.0
    record identifier: in00004580862