简介:本文证明第二种服务可选的M/M/1排队模型的主算子的点谱包含一个区间(-α,0),α〉0.此结果表明该主算子生成的C_0-半群不是紧算子,甚至不是最终紧算子.本文的结果与我们以前的结果合并后得到:(i)该C_0-半群的本质增长界为0.从而,该C_0-半群不是拟紧算子.(ii)该模型的时间依赖解不可能指数收敛于其稳态解.(iii)该C_0-半群的本质谱半径等于1.
简介:Anewspectralproblemisproposed,andnonlineardifferentialequationsofthecorrespondinghierarchyareobtained.Withthehelpofthenonlinearizationapproachofeigenvalueproblems,anewfinite-dimensionalHamiltoniansystemonR2nisobtained.Ageneratingfunctionapproachisintroducedtoprovetheinvolutionofconservedintegralsanditsfunctionalindependence,andtheHamiltonianflowsarestraightenedbyintroducingtheAbel-Jacobicoordinates.Atlast,basedontheprinciplesofalgebracurve,thequasi-periodicsolutionsforthecorrespondingequationsareobtainedbysolvingtheordinarydifferentialequationsandinversingtheAbel-Jacobicoordinates.
简介:Therelativisticproblemofspin-1/2fermionssubjecttovectorhyperbolic(kink-like)potential(~tanhkx)isinvestigatedbyusingtheparametricNikiforov-Uvarovmethod.TheenergyeigenvalueequationandthecorrespondingnormalizedwavefunctionsareobtainedintermsoftheJacobipolynomialsintwocases.
简介:Onassumingthatweaksubstructurehasadynamicswhichissimilartoquantumchromodynamicsbutmuchstronger,weconcludethatunquenchingisindispensableforpredictionsonthespectrumofweak-substructureresonances[1].
简介:Wereportonanunexplainedhighstatisticssignalthatmayindicatetheexistenceofasuperlightscalarboson[1].Thequestionwhetherthereexistsa(scalar)bosonwithamassofabout38MeVdoesnotdependexclusivelyontheexistenceofaresonance-likestructure(Fig.1)intheexperimentaldataofRef.[2],yetitisatpresenttheclearestsignalwehavefoundinmanyexperiments.
简介:本文综述随机动力系统的基本概念、理论、方法与应用,内容包括Brownian运动、Lévy运动和随机微分方程及其解的刻画。重点讨论通过量化指标、不变结构、几何方法和非高斯性态来理解随机动力学现象。本文还介绍了段金桥的著作《AnIntroductiontoStochasticDynamics(随机动力系统导论)》的基本内容。
简介:Wecommunicatemanydifficultiesthatweencounterwhenattemptingtopinpointacommonoriginfortheseveralobservedanomalies[1;2]orassessingtheirtensionwithexistingexclusionlimits.Theseincludesystematicsaffectingtheoperationofthedetectors,ourknowledgeoftheirresponse,astrophysicaluncertainties,andthebroadrangeofparticlecouplingsthatcanmediatetheinteractionwithadetectortarget.Theinterestingastrophysicalevidence[2]thatmotivatesasearchfordark-photonandfocusesourattentiononaHiddenValleysmodelwithaGeV-scaledarksectorthatproducesexcitingsignatures.Resultsfromtherecentundergroundexperiments[1]arealsoconsidered.
简介:Usingbi-spinorfieldswewritethepseudo-scalarandbi-spinorfieldsthatarecharacterizedbythefieldfunctionsofcoordinatesofseveralparticles,namelymulti-particlefields.Byapplyingthequantizationproceduretothesemulti-particlefields,hadroniccreationandannihilationoperatorshavebeenobtained.
简介:AcarefulanalysisoftheAME2012[1]databaseintheframeworkoftheinverseproblemsusingthedynamicautoregularizationmethodor,moreprecisely,theREGNprogram[2],whichistheconstructivedevelopmentoftheTikhonovregularizationmethod[3],revealsphenomenologicalfunctionalfeaturesofpreviouslyunknownparametersoftheBethe-Weizs¨acker(BW)massformula.
简介:Veryrecently,theBelleandBESIIIexperimentsobservedanewcharmonium-likestateX(3823),whichisagoodcandidatefortheD-wavecharmonium(13D2).BecausetheX(3823)isjustneartheDˉDthreshold,thedecayX(3823)!J=+??canbeagoldenchanneltotestthesignificanceofcoupled-channeleffects.Inthiswork[1],thisdecayisconsideredincludingboththehidden-charmdipionandtheusualquantumchromodynamicsmultipoleexpansion(QCDME)contributions.
简介:UsingthestandardtruncatedPainlevexpansion,theresidualsymmetryofthe(2+1)-dimensionalmodifieddispersivewater-wavesystemislocalizedintheproperlyprolongedsystemwiththeLiepointsymmetryvector.Somedifferenttransformationinvariancesarederivedbyutilizingtheobtainedsymmetries.ThesymmetriesofthesystemarealsoderivedthroughtheClarkson-Kruskaldirectmethod,andseveraltypesofexplicitreductionsolutionsrelatetothetrigonometricorthehyperbolicfunctionsareobtained.Finally,somespecialsolitonsaredepictedfromoneofthesolutions.