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1、GeometryofQuantumTheorySecondEditionV.S.VaradarajanGeometryofQuantumTheorySecondEditionSpringerVS.VaradarajanDepartmentofMathematicsUniversityofCaliforniaLosAngeles,CA90024USAMathematicsSubjectClassification(2000):81-01LibraryofCongressControlNumber:2006937106ISBN-10:0-387-96124-0(hardcover)I
2、SBN-13:978-0-387-96124-8(hardcover)ISBN-10:0-387-49385-9(softcover)e-ISBN-10:0-387-49386-7ISBN-13:978-387-49385-5(softcover)e-ISBN-13:978-0-387-49386-2Printedonacid-freepaper.©2007,1985,1970,1968SpringerScience+BusinessMedia,LLCThefirsteditionofthisbookwaspublishedintwovolumes:VolumeIin1968by
3、D.VanNostrandCompany,Inc.,NewYork;andVolumeIIin1970byVanNostrandReinholdCompany,NewYork.Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(SpringerScience+BusinessMediaLLC,233SpringStreet,NewYork,NY10013,USA)andtheauthor,exceptforbrief
4、excerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarksandsimilarte
5、rms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.987654321springer.com(IBT)TOMYPARENTSPREFACETOVOLUMEIOFTHEFIRSTEDITIONThepresentworkisthefirstvolumeofasubstantiallyenlargedversionofthemimeographednotesofacourseoflectu
6、resfirstgivenbymeintheIndianStatisticalInstitute,Calcutta,India,during1964-65.Whenitwassuggestedthattheselecturesbedevelopedintoabook,Ireadilyagreedandtooktheopportunitytoextendthescopeofthematerialcovered.Nobackgroundinphysicsisinprinciplenecessaryforunderstand•ingtheessentialideasinthiswork
7、.However,ahighdegreeofmathematicalmaturityiscertainlyindispensable.ItissafetosaythatIaimatanaudiencecomposedofprofessionalmathematicians,advancedgraduatestudents,and,hopefully,therapidlyincreasinggroupofmathematicalphysicistswhoareattractedto
