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1、LectureNotesinMathematics1821Editors:J.--M.Morel,CachanF.Takens,GroningenB.Teissier,Paris3BerlinHeidelbergNewYorkHongKongLondonMilanParisTokyoStefanTeufelAdiabaticPerturbationTheoryinQuantumDynamics13AuthorStefanTeufelZentrumMathematikTechnischeUniversitatM¨unchen¨Boltzmannstr.385747GarchingbeiMu
2、nchen,Germany¨e-mail:teufel@ma.tum.deCataloging-in-PublicationDataappliedforBibliographicinformationpublishedbyDieDeutscheBibliothekDieDeutscheBibliothekliststhispublicationintheDeutscheNationalbibliografie;detailedbibliographicdataisavailableintheInternetathttp://dnb.ddb.deMathematicsSubjectClas
3、sification(2000):81-02,81Q15,47G30,35Q40ISSN0075-8434ISBN3-540-40723-5Springer-VerlagBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,re
4、productiononmicrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer-Verlag.ViolationsareliableforprosecutionundertheGe
5、rmanCopyrightLaw.Springer-VerlagBerlinHeidelbergNewYorkamemberofBertelsmannSpringerScience+BusinessMediaGmbHspringer.decSpringer-VerlagBerlinHeidelberg2003PrintedinGermanyTheuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstate
6、ment,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Typesetting:Camera-readyTEXoutputbytheauthorSPIN:1095175041/3142/du-543210-Printedonacid-freepaperTableofContents1Introduction..............................................11.1Thetime-adiabatictheo
7、remofquantummechanics.........61.2Space-adiabaticdecoupling:examplesfromphysics..........151.2.1Moleculardynamics..............................151.2.2TheDiracequationwithslowlyvaryingpotentials....211.3Outlineofcontent