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1、QuantumversusChaosFundamentalTheoriesofPhysicsAnInternationalBookSeriesonTheFundamentalTheoriesofPhysics:TheirClarification,DevelopmentandApplicationEditor:ALWYNVANDERMERWEUniversityofDenver,U.S.A.EditorialAdvisoryBoard:LAWRENCEP.HORWITZ,Tel-AvivUniversity,Is
2、raelBRIAND.JOSEPHSON,UniversityofCambridge,U.K.CLIVEKILMISTER,UniversityofLondon,U.K.PEKKAJ.LAHTI,UniversityofTurku,FinlandGÜNTERLUDWIG,Philipps-Universität,Marburg,GermanyASHERPERES,IsraelInstituteofTechnology,IsraelNATHANROSEN,IsraelInstituteofTechnology,Is
3、raelEDUARDPRUGOVECKI,UniversityofToronto,CanadaMENDELSACHS,StateUniversityofNewYorkatBuffalo,U.S.A.ABDUSSALAM,InternationalCentreforTheoreticalPhysics,Trieste,ItalyHANS-JÜRGENTREDER,ZentralinstitutfürAstrophysikderAkademiederWissenschafen,GermanyVolume87Quant
4、umversusChaosQuestionsEmergingfromMesoscopicCosmosbyKatsuhiroNakamuraFacultyofEngineering,OsakaCityUniversity,Osaka,JapanKLUWERACADEMICPUBLISHERSNEWYORK/BOSTON/DORDRECHT/LONDON/MOSCOWeBookISBN:0-306-47121-3PrintISBN:0-792-34557-6©2002KluwerAcademicPublishersN
5、ewYork,Boston,Dordrecht,London,MoscowAllrightsreservedNopartofthiseBookmaybereproducedortransmittedinanyformorbyanymeans,electronic,mechanical,recording,orotherwise,withoutwrittenconsentfromthePublisherCreatedintheUnitedStatesofAmericaVisitKluwerOnlineat:http
6、://www.kluweronline.comandKluwer'seBookstoreat:http://www.ebooks.kluweronline.comTableofContentsPrefaceixChapter1.Genesisofchaosandbreakdownofquantizationofadiabaticinvariants11.1.Introduction11.2.CollapseofKAMtoriandonsetofchaos21.3.Diagnosticcharactersofcha
7、os71.4.Suppressionofchaosinquantumdynamics91.5.Breakdownofquantizationofadiabaticinvariants11References14Chapter2.Semiclassicalquantizationofchaos:traceformula152.1.Green'sfunctionandFeynman'spathintegralmethod152.2.Quantizationofintegrablesystems172.3.Quanti
8、zationofchaos:traceformula192.4.Applicationoftraceformulatoautocorrelationfunctions222.5.Significanceandlimitationoftraceformula29References30Chapter3.Pseudo-chaoswithoutclassicalcounterp
