资源描述：
《feynman's path integral in quantum theory》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、TeachingFeynman'ssum-over-pathsquantumtheorya!b!c!EdwinF.Taylor,StamatisVokos,andJohnM.O'MearaDepartmentofPhysics,UniversityofWashington,Seattle,Washington98195-1560d!NoraS.ThornberDepartmentofMathematics,RaritanValleyCommunityCollege,Somerville,NewJersey08876-1265(Received30Ju
2、ly1997;accepted25November1997)Weoutlineanintroductiontoquantummechanicsbasedonthesum-over-pathsmethodoriginatedbyRichardP.Feynman.Studentsusesoftwarewithagraphicsinterfacetomodelsumsassociatedwithmultiplepathsforphotonsandelectrons,leadingtotheconceptsofelectronwavefunction,the
3、propagator,boundstates,andstationarystates.Materialinthe®rstportionofthisoutlinehasbeentriedwithanaudienceofhigh-schoolscienceteachers.Thesestudentswereenthusiasticaboutthetreatment,andwefeelthatithaspromisefortheeducationofphysicistsandotherscientists,aswellasfordistributionto
4、awideraudience.©1998AmericanInstituteofPhysics.@S0894-1866~98!01602-2#4Thirty-oneyearsago,DickFeynmantoldmeabouthiswrittenwithRalphLeighton.Feynmandidnotusehis``sumoverhistories''versionofquantummechanics.``Thepowerfulsum-over-pathsformulationinhisownintroduc-electrondoesanythi
5、ngitlikes,''hesaid.``Itjustgoesintorytextonquantummechanics.5Thesum-over-pathsanydirectionatanyspeed,...howeveritlikes,andthenmethodissparselyrepresentedinthephysics-educationyouadduptheamplitudesanditgivesyouthewave-literature6andhasnotenteredthemainstreamofstandardfunction.''
6、Isaidtohim,``You'recrazy.''Buthewasn't.undergraduatetextbooks.7Whynot?Probablybecauseuntil1--FreemanDyson,1980recentlythestudentcouldnottracktheelectron'sexplora-tionofalternativepathswithoutemployingcomplexmath-INTRODUCTIONematics.Thebasicideaisindeedsimple,butitsuseandapplica
7、tioncanbetechnicallyformidable.WithcurrentTheelectronisafreespirit.Theelectronknowsnothingofdesktopcomputers,however,astudentcancommandthethecomplicatedpostulatesorpartialdifferentialequationofmodeledelectrondirectly,pointingandclickingtoselectnonrelativisticquantummechanics.Ph
8、ysicistshaveknownpathsforittoexplore.Thecomputerthenmi
