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Adiabatic perturbation theory in quantum dynamics / Stefan Teufel

By: Resource type: Ressourcentyp: BuchBookLanguage: English Series: Lecture notes in mathematics ; 1821Publisher: Berlin ; Heidelberg [u.a.] : Springer, 2003Description: VI, 236 S : graph. DarstISBN:
  • 3540407235
Subject(s): Additional physical formats: Online-Ausg.: Adiabatic Perturbation Theory in Quantum Dynamics. Berlin, Heidelberg : Springer Berlin Heidelberg, 2003. Online-Ressource (VI, 242 p, online resource)MSC: MSC: *81-02 | 81Q15 | 47G30 | 35Q40 | 37N20RVK: RVK: SI 850 | SK 950LOC classification:
  • QA3
  • QC174.17.P45
Summary: Separation of scales plays a fundamental role in the understanding of the dynamical behaviour of complex systems in physics and other natural sciences. A prominent example is the Born-Oppenheimer approximation in molecular dynamics. This book focuses on a recent approach to adiabatic perturbation theory, which emphasizes the role of effective equations of motion and the separation of the adiabatic limit from the semiclassical limit. A detailed introduction gives an overview of the subject and makes the later chapters accessible also to readers less familiar with the material. Although the general mathematical theory based on pseudodifferential calculus is presented in detail, there is an emphasis on concrete and relevant examples from physics. Applications range from molecular dynamics to the dynamics of electrons in a crystal and from the quantum mechanics of partially confined systems to Dirac particles and nonrelativistic QED. TOC:Introduction.- First-order adiabatic theory.- Space-adiabatic perturbation theory.- Applications and extensions.- Quantum dynamics in periodic media.- Adiabatic decoupling without spectral gap.- Pseudodifferential operators.- Operator-valued Weyl calculus for tau-eqivariant symbols.- Related approaches.- List of symbols.- References.- IndexPPN: PPN: 368052079
Holdings
Item type Home library Shelving location Call number Status Barcode
Freihandbestand ausleihbar Fachbibliothek Mathematik Bibliothek / frei aufgestellt Lect. notes / 1821 Available 36357053090
Total holds: 0
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