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©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.()JournalofShandongUniversityofTechnology(Sci&Tech)Vol.20No.5Sep.2006:20060308:(1972),,.:1672-6197(2006)05-0047-041,2(1.,253023;2.,255049):,0.22,.:;;:O562.32:AThetheoreticalinterpretationstothenormalzeemaneffectphenomenonLIUZhi2hua1,LIURui2jin2(1.DepartmentofPhysics,DezhouUniversity,Dezhou253023,China;2.SchoolofPhysics,ShandongUniversityofTechnology,Zibo255049,China)Abstract:Withcadmium(Cd)forexample,thenormalZeemaneffectphenomenonofanat2omwithspinforzeroisdescribed,andalso,theinterpretationstothenormalZeemaneffectphenomenonbytwomethodsaregiveninthispaper.Atthesametime,thedifferencesbe2tweenthetwointerpretationsarediscussed.Keywords:zeemaneffect;perturbation;spin.,,,..,.2,;.,,mL,mS,..1(Cd)643.847nm.,.©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.:v0-,0,0+,3.0,,.0,,0,=eB/4mc=L().,0+0-,,2,0+,0-[1],1.1(Cd)643.847nm22.2.1(Larmor)..Bls,LSJ,JBEm=MJgJBB,MJ=j,j-1,,-j+1,-j,En,l,jMJ.2E2E1,,hv=E2-E1(1),2E2=E2+M2g2BBE1=E1+M1g1BBhv=E2-E1=(E2-E1)+(M2g2-M1g1)BB=hv+(M2g2-M1g1)BB(2)(),g2=g1=1,hv=hv+(M2-M1)BB(3)M=0,1,3hv=hv+BB(M=1)0(M=0)-BB(M=-1)(4)2,1-1=eÜ2mBhc=eB4mc=L(5)L=eB4mc.,.,1902..,:,;[3].M=M2-M1=1,(z)1Ü,,[3].,Ü.,,J,+;M=M2-M1=-1,,(z)1Ü,Ü.,-.2.2,xy,,B(x),Ey(),2B;M=M2-M1=0,(z),Ü(x)Ü,,yz,EyEz.84()2006©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.=0,,Ey.,(z)Ey,Ez(),M=0.Ez,.22.2[4].:(S=0),,3,[5]..,NH^H^=Ni=112^p2i+U^(rri)+ijU^(rij)+Ni=1H^Lisi+Ni=jeB2L^zi+Ni=jeBS^zi=H^0+H^(6)H^0=Ni=112^p2i+U^(rri)+ijU^(rij)+Ni=1H^Lisi(7)N.H^=Ni=jeB2L^zi+Ni=jeBS^zi=eB2L^z+eBS^z(8)N.,BLS,LSJ,LSJ,J,(8)H^=eB2L^z+eBS^z=eB2(J^z+S^z)(9)n,.,,nzn=2,z=1,B1.6T;z=2,B26Tn=3,z=1,B0.15T;z=2,B2.5Tn=4,z=1,B0.03T;z=2,B0.5TB,(9)EjjeB2hnEjj(10)(10),(9),,a;b;L;s;J;MJ,E,H^=eB2(J^z+S^z).Ea;b;L;s;J;MJ=eB23a;b;L;s;J;MJ(J^z+S^z)a;b;L;s;J;MJd=eB2MJh+3a;b;L;s;J;MJ(SZ)a;b;L;s;J;MJd(11),LSJ,,3a;b;L;s;J;MJ(S^J^2)a;b;L;s;J;MJd=3a;b;L;s;J;MJ(S^J^)J^a;b;L;s;J;MJdZ,J^2J^z,3a;b;L;s;J;MJ(S^)a;b;L;s;J;MJd=MJhJ(J+1)h23a;b;L;s;J;MJ(S^J^)a;b;L;s;J;MJd=945,:©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(J+1)h23a;b;L;s;J;MJJ^2-L^2+S^22a;b;L;s;J;MJd=MJhJ(J+1)-L(L+1)+S(S+1)2J(J+1),E=geB2MJh=geBh4MJ,g=1+J(J+1)-L(L+1)+S(S+1)2J(J+1).g,(S=0),J=L,MJ=ML,g=1,(9)Ni=1H^Lisi=0,(10)H^=eB2L^z,EE=Beh4ML,v=MLBe4c=MLLMLML=0,1.,(S=0)v=0,L31),.,,()3,3.,,..2),,,().2,,2.,,.:[1],.[M].:,1990.[2],,.[M].:,2003.[3].(3)[M].:,1990.[4].[M].:,1986.[5].[J].,2003,16(4):44246.(46)[3]FENGZhao2sheng.ExactsolutiontoanapproximateSine2Gordonequtionin(n+1)2dimensionalspace[J].J.PhysicsLettersA,2002,302:64276.[4]FENGZhao2sheng,WANGXiao2hui.Thefirstintegralmethodtothetwo2dimensionalspace[J].J.PhysicsLettersA,2002,308:1732178.[5]EstevezPG,GordoaPR.Painleveanalysisofthegeneral2izedBurgers2Huxleyequation[J].J.PhysicsLettersA,1990,23(4):83124837.[6]EstevezPG.Non2classicalsymmetriesandthesingularman2ifoldmethod:theBurgersandBurgers2Huxleyequations[J].J.PhysicsLettersA,1994,27:211322127.[7]FANEn2gui.Travelingwavesolutionsfornonlinearequa2tionsusingsymboliccomputation[J].ComputersandMathe2maticswithApplications,2002,43(627):6712680.05()2006