简介:WeconstructaclassofintegrablegeneralizationofTodamechanicswithlong-rangeinteractions.ThesesystemsareassociatedwiththeloopalgebrasL(Cr)andL(Dr)inthesensethattheirLaxmatricescanberealizedintermsofthec=0representationsoftheaffineLiealgebrasCr(1)andDr(1)andtheinteractionspatterninvolvedbearsthetypicalcharactersofthecorrespondingrootsystems.WepresenttheequationsofmotionandtheHamiltonianstructure.Thesegeneralizedsystemscanbeidentifiedunambiguouslybyspecifyingtheunderlyingloopalgebratogetherwithanorderedpairofintegers(n,m).Itturnsoutthatdifferentsystemsassociatedwiththesameunderlyingloopalgebrabutwithdifferentpairsofintegers(n1,m1)and(n2,m2)withn2<n1andm2<m1canberelatedbyanestedHamiltonianreductionprocedure.Forallnontrivialgeneralizations,theextracoordinatesbesidesthestandardTodavariablesarePoissonnon-commute,andwheneithernorm≥3,thePoissonstructurefortheextracoordinatevariablesbecomessomeLiealgebra(i.e.theextravariablesappearlinearlyontheright-handsideofthePoissonbrackets).Inthequantumcase,suchgeneralizationswillbecomesystemswithnoncommutativevariableswithoutspoilingtheintegrability.
简介:Inthispaper,weprovetheboundednessofthefractionalmaximaloperator,Hardy-LittlewoodmaximaloperatorandmarcinkiewiczintegralsassociatedwithSchr?dingeroperatoronMorreyspaceswithvariableexponent.
简介:在这篇论文,我们在精确大偏差上获得结果因为非鈥搑andom和随机与普通dominatedly变化的尾巴分发功能否定地联系的nonnegative随机变量加。我们发现在某些条件下面,有不同集中的数字的三精确大鈥揹eviation可能性等价于对方。而且,我们与某些否定地依赖的出现为否定地联系的nonnegative随机变量的和调查精确大偏差。获得的结果扩大并且改善Ng,唐,Yan和杨的相应结果(J。Appl。Prob,41,93鈥?07,2004)。否定地联系的关键词-dominatedly变化的尾巴-精确大偏差先生(2000)题目分类60F10-60F05-60G50研究由中国(号码10271087)的国家科学基金支持了
简介:一新(2+1)维的格子方程被介绍在联合Toda格子和相对论的Toda格子(TL-RTL)的层次在开始的二个成员之上基于方程在(1+1)尺寸。为联合TL-RTLequations的层次的Darboux转变被构造。在联合TL-RTLequations的层次的开始的二个成员的答案,以及新(2+1)维的格子方程被theDarboux明确地获得转变。
简介:LetL=L0+VbethehigherorderSchrdigertypeoperatorwhereL0isahomogeneousellipticoperatoroforder2mindivergenceformwithboundedcoefficientsandVisarealmeasurablefunctionasmultiplicationoperator(e.g.,including(-?)m+V(m∈N)asspecialexamples).Inthispaper,assumethatVsatisfiesastronglysubcriticalformconditionassociatedwithL0,theauthorsattempttoestablishatheoryofHardyspaceHpL(Rn)(0
简介:基于低精力QCDLagrangian质子上的理论和交叉对称关系,奇怪的介子相片生产和它的联系放射的俘获reinvestigated在[SU_(SF)(6)直接XO(3)]_(sym)。工具条的DirectXSU_C(3)夸克模型有一个仅仅一样的输入参数的那里的结构,唯一的强壮的联合常数α_M。为生气的节,γ+p→K~++Λ反应的p极化和为有Y=Λ的K~-+p→γ+Y的K~放射的俘获的分叉的比率的计算,Σ~0被执行。到数据的好协议被获得,结果证明与传统的现象学的模型相比,低energyQCDLagrangian理论提供对奇怪的mesonphoto生产和它的联系放射的俘获的成功的、统一描述。
简介:Thepurposeofthisstudyistoexploretheexpressionofgrowth-associatedprotein(GAP-43)inspinalcordsegmentsconnectedwithinjuredsciaticnervebythetreatmentwithbrazileininmice.Unilateralsciaticnerveinterruptionandanastomosiswereperformed.Physiologicalsaline(blankgroup),highdose,middledoseandlowdoseofbrazileinwereadministratedintragastricallytohealthyadultBALB/cmiceinseparategroups.L4―6spinalsegmentsconnectedwiththesciaticnervewereharvested.Real-timePCR(Polymerasechainreaction)andWesternblotanalysiswereperformedtodetecttheexpressionofGAP-43inspinalsegments.Histologicalstainingonmyelinandtheelectrophysiologywereperformedtoexaminethesciaticnerverecovery.GAP-43wasactivatedinspinalcordL4―6connectedwithinjuredsciaticnerve.Inthesurvivaltimeof12h,24h,3d,5d,7dand14d,GAP-43expressioninthemotorneuronsofspinalcordofthehighdosegroupandthatinthemiddledosegroupweresignificantlyhigherthanthoseonthelowdoseandblankgroups.MyelininthehighdosegroupandthatinthemiddledosegroupweremorematureandthepotentialamplitudeandMNCV(motornerveconductionvelocity)inthehighandmiddledosegroupswereobviouslyhigherthanthoseinthelowdosegroupandblankgroup.BrazileinfacilitatestheexpressionofGAP-43inneuronsinspinalcordL4―6segmentsconnectedwithinjuredsciaticnerve,whichpromotesnerveregeneration.
简介:Thetop-pairproductioninassociationwithaZ~0-bosonataphoton-photoncolliderisanimportantprocessinprobingthecouplingbetweentop-quarksandvectorbosonanddiscoveringthesignatureofpossiblenewphysics.WedescribetheimpactofthecompletesupersymmetricQCD(SQCD)next-to-leadingorder(NLO)radiativecorrectionsonthisprocessatapolarizedorunpolarizedphotoncollider,andmakeacomparisonbetweentheeffectsoftheSQCDandthestandardmodel(SM)QCD.Weinvestigatethedependenceofthelowest-order(LO)andQCDNLOcorrectedcrosssectionsinboththeSMandminimalsupersymmetricstandardmodel(MSSM)oncollidingenergys~(1/2)indifferentpolarizedphotoncollisionmodes.TheLO,SMNLO,andSQCDNLOcorrecteddistributionsoftheinvariantmassoftt-pairandthetransversemomentaoffinalZ~0-bosonarepresented.OurnumericalresultsshowthatthepureSQCDeffectsinγγ→ttZ~0processcanbemoresignificantinthe++polarizedphotoncollisionmodethaninothercollisionmodes,andtherelativeSQCDradiativecorrectioninunpolarizedphotoncollisionmodevariesfrom32.09%to-1.89%whens~(1/2)goesupfrom500GeVto1.5TeV.
简介:FERMI,theseededfreeelectronlaser(FEL)inoperationinItaly,isprovidingtheUserCommunitywithuniquefullycoherentradiation,inthewavelengthrange100–4nm.FERMIisthefirstFELfullysynchronizedbymeansofopticalfibers.Theopticaltimingsystemensuresanultra-stablephasereferencetoitsdistributedclients.Severalfemtosecondlongitudinaldiagnosticsverifytheachievedperformance;thebunchlengthmonitor(BLM)andthebuncharrivalmonitor(BAM)willbepresentedinthispaper.Feedbacksystemsplayacrucialroletoguaranteetheneededlongtermelectronbeamstability.Areal-timeinfrastructureallowsshot-to-shotcommunicationbetweenfront-endcomputersandtheservers.Orbitfeedbacksareusefulinmachinetuning,whereaslongitudinalfeedbackscontrolelectronenergy,compressionandarrivaltime.Aflexiblesoftwareframeworkallowsarapidimplementationofheterogeneousmultiinput–multi-output(MIMO)longitudinalloopssimplybyselectingtheappropriatesensorsandactuators.