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: Open Quantum Systems I
    sub title: The Hamiltonian Approach
  name:
    name part: Attal, Stéphane.
    role:
      role term: editor.
  name:
    name part: Joye, Alain.
    role:
      role term: editor.
  name:
    name part: Pillet, Claude-Alain.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2006
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVI, 329 p. online resource.
  abstract: Understanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. From a mathematical point of view, it involves a large body of knowledge. Significant progress in the understanding of such systems has been made during the last decade. These books present in a self-contained way the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications. In Volume I the Hamiltonian description of quantum open systems is discussed. This includes an introduction to quantum statistical mechanics and its operator algebraic formulation, modular theory, spectral analysis and their applications to quantum dynamical systems. Volume II is dedicated to the Markovian formalism of classical and quantum open systems. A complete exposition of noise theory, Markov processes and stochastic differential equations, both in the classical and the quantum context, is provided. These mathematical tools are put into perspective with physical motivations and applications. Volume III is devoted to recent developments and applications. The topics discussed include the non-equilibrium properties of open quantum systems, the Fermi Golden Rule and weak coupling limit, quantum irreversibility and decoherence, qualitative behaviour of quantum Markov semigroups and continual quantum measurements.
  table of contents: to the Theory of Linear Operators -- to Quantum Statistical Mechanics -- Elements of Operator Algebras and Modular Theory -- Quantum Dynamical Systems -- The Ideal Quantum Gas -- Topics in Spectral Theory.
  note: edited by Stéphane Attal, Alain Joye, Claude-Alain Pillet.
  subject:
    topic: Mathematics
  subject:
    topic: Dynamics
  subject:
    topic: Ergodic theory
  subject:
    topic: Operator theory
  subject:
    topic: Probabilities
  subject:
    topic: Physics
  subject:
    topic: Mathematics
  subject:
    topic: Dynamical Systems and Ergodic Theory
  subject:
    topic: Theoretical, Mathematical and Computational Physics
  subject:
    topic: Probability Theory and Stochastic Processes
  subject:
    topic: Operator Theory
  classification: QA313
  classification: 515.39
  classification: 515.48
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Mathematics, 1880
  identifier: 9783540339229
  identifier: http://dx.doi.org/10.1007/b128449
  record info:
    record creation date: 100301
    record change date: 20151204142431.0
    record identifier: 978-3-540-33922-9