Adiabatic perturbation theory in quantum dynamics
Author(s)
Bibliographic Information
Adiabatic perturbation theory in quantum dynamics
（Lecture notes in mathematics, 1821）
Springer, c2003
Available at / 68 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||182103045915
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INTERNATIONAL CHRISTIAN UNIVERSITY LIBRARY図
V.1821410.8/L507/v.182105961355,
410.8/L507/v.182105961355 -
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC21:530.12/T2962070598607
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Note
Bibliography: p. [227]-234
Includes index
Description and Table of Contents
Description
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.
Table of Contents
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.
by "Nielsen BookData"