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1、ThispageintentionallyleftblankQuantumMechanicsandQuantumFieldTheoryExplainingtheconceptsofquantummechanicsandquantumfieldtheoryinaprecisemathematicallanguage,thistextbookisanidealintroductionforgraduatestudentsinmathematics,helpingtopreparethemforfurtherstudiesinquantumphysics.Thetextbook
2、coverstopicsthatarecentraltoquantumphysics:non-relativisticquantummechanics,quantumstatisticalmechanics,relativisticquantummechanics,andquantumfieldtheory.Thereisalsobackgroundmaterialonanalysis,classicalmechanics,relativity,andprobability.Eachtopicisexploredthroughastatementofbasicprinci
3、plesfollowedbysimpleexamples.Around100problemsthroughoutthetextbookhelpreadersdeveloptheirunderstanding.JonathanDimockisProfessorofMathematics,SUNYatBuffalo.Hehascarriedoutresearchinvariousareasofmathematicalphysics,includingconstructivequantumfieldtheory,quantumfieldtheoryonmanifolds,reno
4、rmalizationgroupmethods,andstringtheory.QuantumMechanicsandQuantumFieldTheoryAMathematicalPrimerJONATHANDIMOCKSUNYatBuffaloCAMBRIDGEUNIVERSITYPRESSCambridge,NewYork,Melbourne,Madrid,CapeTown,Singapore,SãoPaulo,Delhi,Dubai,Tokyo,MexicoCityCambridgeUniversityPressTheEdinburghBuilding,Cambri
5、dgeCB28RU,UKPublishedintheUnitedStatesofAmericabyCambridgeUniversityPress,NewYorkwww.cambridge.orgInformationonthistitle:www.cambridge.org/9781107005099cJ.Dimock2011Thispublicationisincopyright.Subjecttostatutoryexceptionandtotheprovisionsofrelevantcollectivelicensingagreements,noreprod
6、uctionofanypartmaytakeplacewithoutthewrittenpermissionofCambridgeUniversityPress.Firstpublished2011PrintedintheUnitedKingdomattheUniversityPress,CambridgeAcatalogrecordforthispublicationisavailablefromtheBritishLibraryLibraryofCongressCataloginginPublicationdataDimock,Jonathan,1945–Quant
7、ummechanicsandquantumfieldtheory:amathematicalprimer/JonathanDimock.p.cm.ISBN978-1-107-00509-9(hardback)1.Quantumtheory–Mathematics.I.Title.QC174.17.M35D562011530.12–dc222010041723ISBN978-1-107-00509-9HardbackCambridgeUniversityPresshasnoresponsibilityforthepersistenceorac