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: Coherent States and Applications in Mathematical Physics
  name:
    name part: Combescure, Monique.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Robert, Didier.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: ne
    date issued: 2012
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIV, 418 p. online resource.
  abstract: This book presents the various types of coherent states introduced and studied in the physics and mathematics literature and describes their properties together with application to quantum physics problems. It is intended to serve as a compendium on coherent states and their applications for physicists and mathematicians, stretching from the basic mathematical structures of generalized coherent states in the sense of Perelomov via the semiclassical evolution of coherent states to various specific examples of coherent states (hydrogen atom, quantum oscillator, ...).
  table of contents: The standard coherent states of quantum mechanics -- The Weyl-Heisenberg group and the coherent states of arbitrary profile -- The coherent states of the Harmonic Oscillator -- From Schrödinger to Fock-Bargmann representation.- Weyl quantization and coherent states: Classical and Quantum observables -- Wigner function -- Coherent states and operator norm estimates -- Product rule and applications -- Husimi functions, frequency sets and propagation -- The Wick and anti-Wick quantization -- The generalized coherent states in the sense of Perelomov -- The SU(1,1) coherent states: Definition and properties -- The squeezed states -- The SU(2) coherent states -- The quantum quadratic Hamiltonians: The propagator of quadratic quantum Hamiltonians -- The metaplectic transformations -- The propagation of coherent states -- Representation of the Weyl symbols of the metaplectic operators -- The semiclassical evolution of coherent states -- The van Vleck and Hermann-Kluk approximations -- The semiclassical Gutzwiller trace formula using coherent states decomposition -- The hydrogen atom coherent states: Definition and properties -- The localization around Kepler orbits -- The quantum singular oscillator: The two-body case -- The N-body case.
  note: by Monique Combescure, Didier Robert.
  subject:
    topic: Physics
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Quantum physics
  subject:
    topic: Physics
  subject:
    topic: Quantum Physics
  subject:
    topic: Applications of Mathematics
  subject:
    topic: Mathematical Methods in Physics
  classification: QC173.96-174.52
  classification: 530.12
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Theoretical and Mathematical Physics
  identifier: 9789400701960
  identifier: http://dx.doi.org/10.1007/978-94-007-0196-0
  record info:
    record creation date: 120131
    record change date: 20151204143314.0
    record identifier: 978-94-007-0196-0