1.

Record Nr.

UNISA996466657603316

Autore

Teufel Stefan

Titolo

Adiabatic Perturbation Theory in Quantum Dynamics [[electronic resource] /] / by Stefan Teufel

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003

ISBN

3-540-45171-4

Edizione

[1st ed. 2003.]

Descrizione fisica

1 online resource (VI, 242 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 1821

Classificazione

81Q15

47G30

Disciplina

530.12

510 s

Soggetti

Mathematical physics

Operator theory

Partial differential equations

Theoretical, Mathematical and Computational Physics

Operator Theory

Partial Differential Equations

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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-equivariant symbols -- Related approaches -- List of symbols -- References -- Index.

Sommario/riassunto

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.