Adiabatic perturbation theory in quantum dynamics
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.- Index
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- ISBN
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9783540407232
3540407235
- Dimensions
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24 cm
- Extent
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VI, 236 S.
- Language
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Englisch
- Notes
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graph. Darst.
Literaturverz. S. 227 - 234
- Bibliographic citation
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Lecture notes in mathematics ; 1821
- Keyword
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Quantenmechanisches System
Adiabatischer Limes
- Event
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Veröffentlichung
- (where)
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Berlin, Heidelberg, New York, Hong Kong, London, Milan, Paris, Tokyo
- (who)
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Springer
- (when)
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2003
- Creator
- Table of contents
- Rights
-
Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
- Last update
-
11.06.2025, 2:27 PM CEST
Data provider
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Teufel, Stefan
- Springer
Time of origin
- 2003
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