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ID:31470028
大小:4.00 MB
页数:361页
时间:2019-01-10
《cornwell,group theory in physics--an introduction》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、GroupTheoryinPhysicsAnIntroductionJ.F.CornwellSchoolofPhysicsandAstronomyUniversityofSt.Andrews,ScotlandACADEMICPRESSHarcourtBrace&Company,PublishersSanDiegoLondonBostonNewYorkSydneyTokyoTorontoThisbookisprintedonacid-freepaperAcademicPress525BStreet,Suite1900,SanDiego,
2、California92101-4495,USAhttp://www.apnet.comAcademicPressLimited24-28OvalRoad,LondonNWl7DX,UKhttp://~wcw,hbuk.co.uk/ap/Copyright(~)1997byACADEMICPRESSAllrightsreservedNopartofthispublicationmaybereproducedortransmittedinanyformorbyanymeanselectronicormechanical,includin
3、gphotocopy,recording,oranyinformationstorageandretrievalsystem,withoutpermissioninwritingfromthepublisher.AcataloguerecordforthisbookisavailablefromtheBritishLibraryLibraryofCongressCataloguing-in-PublicationDataISBN0-12-189800-8PrintedandboundbyAntonyRoweLtd,Eastboume9
4、79899000102EB987654321ContentsPrefaceviiTheBasicFramework11Theconceptofagroup.......................12Groupsofcoordinatetransformations..............4(a)Rotations..........................5(b)Translations.........................9ThegroupoftheSchr5dingerequation........
5、......10(a)TheHamiltonianoperator.................10(b)TheinvarianceoftheHamiltonianoperator.......11(c)ThescalartransformationoperatorsP(T)........12Theroleofmatrixrepresentations................15TheStructureofGroups191Someelementaryconsiderations..................192
6、Classes................................213Invariantsubgroups........................234Cosets................................245Factorgroups............................266Homomorphicandisomorphicmappings.............287Directproductsandsemi-directproductsofgroups.......
7、31LieGroups351DefinitionofalinearLiegroup..................352TheconnectedcomponentsofalinearLiegroup........403TheconceptofcompactnessforlinearLiegroups........424Invariantintegration........................44RepresentationsofGroups-PrincipalIdeas471Definitions........
8、......................472Equivalentrepresentations.....................493Unitaryrepresentations..............
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