Adiabatic perturbation theory in quantum dynamics / Stefan Teufel

Von:

Teufel, Stefan, 1970- [aut]

Resource type: Ressourcentyp: BuchBuchSprache: Englisch Reihen: Lecture notes in mathematics ; 1821Verlag: Berlin ; Heidelberg [u.a.] : Springer, 2003Beschreibung: VI, 236 S : graph. DarstISBN:

3540407235

Schlagwörter:

Andere physische Formen: 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-Klassifikation:

QA3
QC174.17.P45

Zusammenfassung: 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

Exemplare ( 1 )

Exemplare
Medientyp	Heimatbibliothek	Standort	Signatur	Status	Fälligkeitsdatum	Barcode	Vormerkungen
Freihandbestand ausleihbar	Fachbibliothek Mathematik	Bibliothek / frei aufgestellt	Lect. notes / 1821	Verfügbar		36357053090

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