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1、MatheInaticsforQuantUInMechanicsAnIntroductorySur"e..yofOperators,Eigen"alues,andLinearVectorSpacesJohnDavidJacksonUniversityofIllinoisw.A.Benjamin,Inc.NewYork1962MATHEMATICSFORQUANTUMMECHANICSAnIntroductorySurveyCopyright@1962byW.A.Benjamin,Inc.Allrightsreserved.LibraryofCongressC
2、atalogCardNumber:62-17526ManufacturedintheUnitedStatesofAmericaThemanuscriptwasreceivedApril1,1962,andpublishedJuly20,1962.W.A.BENJAMIN,INC.Editor'sForewordEveryoneconcernedwiththeteachingofphysicsattheadvancedundergraduateorgraduatelevelisawareofthecontinuingneedforamodernizationa
3、ndreorganizationofthebasiccoursematerial.Despitetheexistencetodayofmanygoodtextbooksintheseareas,thereisalwaysanappreciabletime-lagintheincorporationofnewview-pointsandtechniqueswhichresultfromthemostrecentde•velopmentsinphysicsresearch.Typicallythesechangesincon•ceptsandmaterialta
4、keplacefirstinthepersonallecturenotesofsomeofthosewhoteachgraduatecourses.Eventually,printednotesmayappear,andsomefractionofsuchnotesevolveintotextbooksormonographs.Butmuchofthisfreshmaterialremainsavailableonlytoaverylimitedaudience,tothedetrimentofall.Ourseriesaimsatfillingthisga
5、pintheliteratureofphysicsbypresentingoccasionalvolumeswithacontemporaryapproachtotheclassicaltopicsofphysicsattheadvancedundergraduateandgraduatelevel.Clarityandsoundnessoftreatmentwill,wehope,markthesevolumes,aswellasthefreshnessoftheapproach.Anotherareainwhichtheserieshopestomake
6、acontributionisbypresentingusefulsupplementingmaterialofwell-definedscope.Thismaytaketheformofasurveyofrelevantmathematicalprin•ciples,oracollectionofreprintsofbasicpapersinafield.Heretheaimistoprovidetheinstructorwithaddedflexibilitythroughtheuseofsupplementsatrelativelylowcost.Th
7、escopeofboththelecturenotesandsupplementsissomewhatdifferentfromthe"FrontiersinPhysics"series.Inspiteofwidevariationsfrominstitutiontoinstitutionastowhatcomprisesthebasicgraduatecourseprogram,thereisawidelyacceptedgroupof"breadandbutter"coursesthatdealwiththeclassictopicsInphysh::s
8、.ThE)SCinclude:Mathematica
