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- catalog abstract "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.".
- catalog contributor b13026119.
- catalog created "c2003.".
- catalog date "2003".
- catalog date "c2003.".
- catalog dateCopyrighted "c2003.".
- catalog description "Includes bibliographical references (p. [227]-234) and index.".
- catalog description "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.".
- catalog description "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.".
- catalog extent "vi, 236 p. :".
- catalog hasFormat "Also available in an electronic version.".
- catalog identifier "3540407235 (softcover : alk. paper)".
- catalog isFormatOf "Also available in an electronic version.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1821.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1821".
- catalog issued "2003".
- catalog issued "c2003.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog relation "Also available in an electronic version.".
- catalog subject "510 s 530.12 22".
- catalog subject "Differential equations, partial.".
- catalog subject "Operator theory.".
- catalog subject "Perturbation (Quantum dynamics)".
- catalog subject "Physics.".
- catalog subject "QA3 .L28 no. 1821 QC174.17.P45".
- catalog tableOfContents "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.".
- catalog title "Adiabatic perturbation theory in quantum dynamics / Stefan Teufel.".
- catalog type "Computer network resources. local".
- catalog type "Electronic books. lcsh".
- catalog type "text".