电脑桌面
添加小米粒文库到电脑桌面
安装后可以在桌面快捷访问

N=2超对称量子力学的新实现和形状不变性VIP免费

N=2超对称量子力学的新实现和形状不变性_第1页
1/8
N=2超对称量子力学的新实现和形状不变性_第2页
2/8
N=2超对称量子力学的新实现和形状不变性_第3页
3/8
Ú264'Ú4ÚßÜïíëËïívd.26,N£.42002ê4ÂÄGHENERGYPHYEI·ANDNUCIZARPHYSECSAF-,émNewRealizationofN=2SupersymmetricQuantumMechanicsandShapehvarianceMedinaAblikimEHIJANGWei--Chez382l(InstitutedHú,EnerwPhysics,ö,eChine-eAcademydSciegee-,BeijiEHE1©²",China)2(ImtutedAwtidOEms®,XiÐimgumv¥,®,UEmqimØ46.Gin-)AMMct'ITEenewsuperehaªegmconsbmetedandtheweighthdoniadehedto¢dytheN=2one-dimensionalSEEpemymmemequanMnmechanics.severaleÊraPIesamamu--edMtbenàreaHó-tlOE1.KeyWOE-daanvarzance1IntrodEEdomWhilestudyingthedynamicalbmakingofsupersymmetry,in1981Wiuenlljconstructedasim-pk,butnottdvialmodel-»-SEEpemyzymetdcqumummeetmics(sgQM)½,nmelyasysMdNHemIitiansupemhazÅesQi(i=1,2,-,N)andSEEpemymmetricHamiltonianH,satisfyingthefollowingEªElations:i¶,Qji=2HSe,[¶,H]=0,Q:=Qi(i=1,2,-,N).(1.1)FortheN=2case,Eq.(1.1)cmhexpressedaltemauvely,iQ+,Q-|;=2H,Q:=0,[QÃ,H]=0,Q:=Q.,(1.2)byintroducingð=÷(Q1ÁiQz)(13)'IEepmblemofconstmctingthemalizationmmimpOEtantoneinstudyof·QM.Inone-dimension-dazzdN=2cases,themalizationdSSQMincommonuseisgivenbythefollowingfom1ofsuper-charges:ð=|ó¹+W(z)|ó,(14)LUª»andthesupersymmetricHamiltonianiss1idLW'--l-?Å+WlI+»-6Ö,(1.5)21dõ123,whereW(x)isthesupeEpotentialandthePadmauteesamevenbyi011-iOOKó=Â(Ò1óiÒ2),õ=ll,Ò=ll(16)É001É101Reedved5July2Þ1,Revmed25October«¡-supportedbyScieatihb,emhFomdationforReMmedsebo»,dsuteEdue-60nMini-tzydChin-338-345quantummechmica,HamiltonianHeramÅ,schzedingerequaum,shapeÚ4Ú®é'¤¢¼¦Ë¾ÈzNz2éÔÆ¿Óª¿Ä'àµÖÍδ»äÔ339Herewemll¢dyanewkinddrealigation,which×llincludemmÁê,deaùdm-d.menSionalnonrelativisticqumumBEechmealsyaemintheframewoEtOSN=2SSQM(sedm2)-WewillaudythemlevantHamiltonimHeramhyandshapeinvadmee(sedon3)mdsomeexam-ples(section4).2NewRealizationRecentlymaudiedmanewredmuon¶SQ±'].suzmghmthegeneralimdmpepchazÃesddQI=(M161+NeJE+keI+ì,Q2=(RIÐ+Sez)E+YK+VÖ,(2.1),øereM,N,K,L,R,S,T-ndVm(££ëlamFaeal)×netiomdz.Fmmtbealeebm-icamØmdS-ý,namelyQi=Qi=Hand|Q1,Q2|=0,màobtaintherelationsamongthoeehEEEdom:Case(a)S=M,R=-N,T=-L,V=K;Case(b)S=-M,R=N,T=L,V=-K;(2.2)c..dc)N=iM=óis=áR,T=áL,V=îkaCase(d)N=-iM=óis=¢R,T=÷L,V=áK.hmeasyØmetha,theCase(b)isphy--eallyequivalent-theCa-e(a)zandtheCases(e)andd2(d)wouldleadtotheHgexcludingthe»Óterm,consequentlyarenotphysicallyacceptable.GZWe,theref£"'couldadoptthefollowingdoteedÉeCase(a)andthenthemperchargescmbe,vz-zttenaaQI=(MÒ1+NeJrhl+h2,Qzz(-²1+MeJjhl+h2,d(2.3)oraltemauvely,QìÕ=dÐ[(¶M-i¨N)ê+K-i´L£!ÛÍÒõÕÜ,QÁ.=dÐ[ß(M+¨iN¨)ê+K+i¯ILd(2.4)öÄzØefÙ£dlHIhoìnÖgeqµEuB¢¶dtheima-pmductsbouldbe-mdedduet£theHezïudtydmperchares,Q:=Qa,or(é,Qdé)=(Qs×,é)(i=1,2).(2.5)Whem,theinnerproductisdeaned"(Ê)=jf(¨p(¨,(z)dz(26)andtheredhmuonp(z)ÊtheweidzthdÀ,ÉichÊØketwentogether÷×M,N,kazzdL,saUùingM+M-z0.N+N.=0,(2.7)(K¤-K-M¤')p-M-i=0,(L¤-L-N.,)p-N-p'=0.Eq.(2.7)mderivedfmmEq¤.(2.3),(2.5)and(2.6µ.hue®-seefmzntheaboveequaHonthatMandNmpumlyimÞnaß,,±ùiùN.(K¤-K-M.,)=M.(L.-L-N.,),(2.8µandpeouldhdvedtfk.-K-M.'kifL.-L-N.,¢p=Ç!!M.dÐsmp!!N.d²¤(2.9)ð(jk-1.-M¤'dz)amPUL-õ-N¤'da)--340.C(B+B).(B-D)N=1».kz.L=E.JT2JÔ'2JE'H·'=0,thenwehave(cê+B)ó-reî,Q-=(-cê+D)6¤QÕ2hthiscase,andthesupeE,ymmetEtcHamltonianH¿=Áfnzd+JEl-õþþC´D'Õg)iH.F¤Ò®¤¤t£242'10Uisisthenewmaug.uondimmedMªMwmt.ducedtoEq.(1.4)¤C...

1、当您付费下载文档后,您只拥有了使用权限,并不意味着购买了版权,文档只能用于自身使用,不得用于其他商业用途(如 [转卖]进行直接盈利或[编辑后售卖]进行间接盈利)。
2、本站所有内容均由合作方或网友上传,本站不对文档的完整性、权威性及其观点立场正确性做任何保证或承诺!文档内容仅供研究参考,付费前请自行鉴别。
3、如文档内容存在违规,或者侵犯商业秘密、侵犯著作权等,请点击“违规举报”。

碎片内容

N=2超对称量子力学的新实现和形状不变性

确认删除?
VIP
微信客服
  • 扫码咨询
会员Q群
  • 会员专属群点击这里加入QQ群
客服邮箱
回到顶部