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1、Proceedingsofthe9thInternationalConferencePATHINTEGRALSNEWTRENDSANDPERSPECTIVESThispageintentionallyleftblankProceedingsofthe9thInternationalConferencePATHINTEGRALSNEWTRENDSANDPERSPECTIVESDresden,GermanySeptember23–28,2007editorsWolfhardJankeUniversitätLeipzig,GermanyAxelPelsterUniversitätDu
2、isburg-Essen,GermanyWorldScientificNEWJERSEY•LONDON•SINGAPORE•BEIJING•SHANGHAI•HONGKONG•TAIPEI•CHENNAIPublishedbyWorldScientificPublishingCo.Pte.Ltd.5TohTuckLink,Singapore596224USAoffice:27WarrenStreet,Suite401-402,Hackensack,NJ07601UKoffice:57SheltonStreet,CoventGarden,LondonWC2H9HEBritishL
3、ibraryCataloguing-in-PublicationDataAcataloguerecordforthisbookisavailablefromtheBritishLibrary.PATHINTEGRALS—NEWTRENDSANDPERSPECTIVESProceedingsofthe9thInternationalConferenceCopyright©2008byWorldScientificPublishingCo.Pte.Ltd.Allrightsreserved.Thisbook,orpartsthereof,maynotbereproducedinan
4、yformorbyanymeans,electronicormechanical,includingphotocopying,recordingoranyinformationstorageandretrievalsystemnowknownortobeinvented,withoutwrittenpermissionfromthePublisher.Forphotocopyingofmaterialinthisvolume,pleasepayacopyingfeethroughtheCopyrightClearanceCenter,Inc.,222RosewoodDrive,
5、Danvers,MA01923,USA.Inthiscasepermissiontophotocopyisnotrequiredfromthepublisher.ISBN-13978-981-283-726-4ISBN-10981-283-726-4PrintedinSingapore.Linda-PathIntegrals-NewTrends.pmd13/19/2009,9:46AMOctober9,20089:45WSPC-ProceedingsTrimSize:9inx6inpi07vPREFACEThe9thInternationalConferenceonPathIn
6、tegrals–NewTrendsandPer-spectives(PI07)washeldattheMaxPlanckInstituteforthePhysicsofComplexSystems(MPIPKS)inDresden,Germanyduringthepe-riodSeptember23–28,2007.Thepresentvolumecontainsthematerialofmostofthetalksdeliveredatthismeetingandaselectionfromtheposterpresentations.Thegeneralformatands
7、tyleoftheconferencefollowedtheacceptedandwell-developedpatternoftheseries,focusingonthedevelopment,re-finement,andimportantapplicationsofthetechniquesofpathintegration.Sinceitsfoundingin1983,theseriesofinternationalpath-integralconfer-enceshasbeenco
