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: Foundations of Quantum Theory
    sub title: From Classical Concepts to Operator Algebras
  name:
    name part: Landsman, Klaas.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2017
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXXVI, 861 p. 9 illus., 8 illus. in color. online resource.
  abstract: This book studies the foundations of quantum theory through its relationship to classical physics. This idea goes back to the Copenhagen Interpretation (in the original version due to Bohr and Heisenberg), which the author relates to the mathematical formalism of operator algebras originally created by von Neumann. The book therefore includes comprehensive appendices on functional analysis and C*-algebras, as well as a briefer one on logic, category theory, and topos theory. Matters of foundational as well as mathematical interest that are covered in detail include symmetry (and its "spontaneous" breaking), the measurement problem, the Kochen-Specker, Free Will, and Bell Theorems, the Kadison-Singer conjecture, quantization, indistinguishable particles, the quantum theory of large systems, and quantum logic, the latter in connection with the topos approach to quantum theory. This book is Open Access under a CC BY licence.
  table of contents: Introduction -- Part I Co(X) and B(H): Classical physics on a finite phase space -- Quantum mechanics on a finite-dimensional Hilbert space -- Classical physics on a general phase space -- Quantum physics on a general Hilbert space -- Symmetry in quantum mechanics -- Part II Between Co(X) and B(H): Classical models of quantum mechanics -- Limits: Small hbar -- Limits: large N -- Symmetry in algebraic quantum theory -- Spontaneous Symmetry Breaking -- The Measurement Problem -- Topos theory and quantum logic -- Appendix A: Finite-dimensional Hilbert spaces -- Appendix B: Basic functional analysis -- Appendix C: Operator algebras -- Appendix D: Lattices and logic -- Appendix E: Category theory and topos theory -- References.
  note: by Klaas Landsman.
  note: Open Access
  subject:
    topic: Physics
  subject:
    topic: Matrix theory
  subject:
    topic: Algebra
  subject:
    topic: Mathematical physics
  subject:
    topic: Quantum physics
  subject:
    topic: Physics
  subject:
    topic: Quantum Physics
  subject:
    topic: Mathematical Physics
  subject:
    topic: History and Philosophical Foundations of Physics
  subject:
    topic: Linear and Multilinear Algebras, Matrix Theory
  classification: QC173.96-174.52
  classification: 530.12
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Fundamental Theories of Physics, 188
  identifier: 9783319517773
  identifier: http://dx.doi.org/10.1007/978-3-319-51777-3
  access condition: Open Access
  record info:
    record creation date: 170512
    record change date: 20170512182640.0
    record identifier: 978-3-319-51777-3