000 | 03209nam a22004935i 4500 | ||
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001 | 978-3-540-45171-6 | ||
003 | DE-He213 | ||
005 | 20190213151658.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s2003 gw | s |||| 0|eng d | ||
020 |
_a9783540451716 _9978-3-540-45171-6 |
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024 | 7 |
_a10.1007/b13355 _2doi |
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050 | 4 | _aQC19.2-20.85 | |
072 | 7 |
_aPHU _2bicssc |
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072 | 7 |
_aSCI040000 _2bisacsh |
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072 | 7 |
_aPHU _2thema |
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082 | 0 | 4 |
_a530.1 _223 |
100 | 1 |
_aTeufel, Stefan. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aAdiabatic Perturbation Theory in Quantum Dynamics _h[electronic resource] / _cby Stefan Teufel. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2003. |
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300 |
_aVI, 238 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1821 |
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505 | 0 | _aIntroduction -- 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. | |
520 | _aSeparation 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. | ||
650 | 0 | _aOperator theory. | |
650 | 0 | _aDifferential equations, partial. | |
650 | 1 | 4 |
_aTheoretical, Mathematical and Computational Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19005 |
650 | 2 | 4 |
_aOperator Theory. _0http://scigraph.springernature.com/things/product-market-codes/M12139 |
650 | 2 | 4 |
_aPartial Differential Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12155 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540407232 |
776 | 0 | 8 |
_iPrinted edition: _z9783662179437 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1821 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/b13355 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
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_c11509 _d11509 |