简介:以Clifford代数为工具,讨论n维Minkowski空间的性质,得到n维Minkowski空间的Lorentz变换.
简介:本文用Clifford代数,导出了狭义相对论中的Lorentz变换。
简介:文中利用Clifford代数的双曲虚单位表述时空平面,给出时空平面cl1+1上向量的双曲函数式,用于表述旋量群Spin(1,1)及其子群Spin+(1,1),进而导出时空平面的Lorentz变换.
简介:Inthecontextofquantuminformation,weinvestigateextensivelysomeimportantclassesofageneralformofatwo-qubitsystemunderLorentztransformation.ItisshownLorentztransformationcausesadecayofentanglementandconsequentlyinformationloses.Ontheotherhand,itgeneratesentangledstatesbetweensystemspreparedinitiallyinaseparablestates.ThepartialentangledstatesaremorerobustunderLorentztransformationthanmaximallyentangledstates.Thereforetherateofinformationloseislargerformaximumentangledstatescomparedwiththatforpartiallyentangledstates.
简介:在这篇文章,在三维的Lorentz空间的类似的运动的性质被调查。另外,在速度之间的一些几何结果和在一个空间运动的一个点的加速向量被获得。给词调音:类似的运动;空间kinematics;Lorentzian几何学
简介:Letf(x)∈C[-1,1],pn*(x)bethebestapproximationpolynomialofdegreentof(x).G.Iorentzconjecturedthatifforalln,p2n*(x)=p2n+1*(x),thenfiseven;andifp2n+1*(x)=p2n+2*(x),po*(z)=0,thenfisodd.Inthispaper,itisprovedthat,undertheL1-norm,theLorentzconjectureisvalidconditionally,i.e.if(i)(1-x2)f(x)canbeextendedtoanabsolutelyconvergentTehebyshevsories;(ii)foreveryn,f(x)-p2n+1*(x)hasexactly2n+2zeros(or,inthearcondsituation,f(x)-p2n+2*(x)hasexaetly2n+3zeros),thenLorentzconjectureisvalid.
简介:AchargedspacecraftissubjecttotheLorentzforcewhenitorbitsacentralbodywithamagneticfield.TheinducedLorentzforceprovidesanewmeanofpropellantlesselectromagneticpropulsionfororbitalcontrol.ModelingtheEarthmagneticfieldasatilteddipolethatco-rotateswiththeEarth,thispaperdevelopsanonlineardynamicalmodelthatdescribestherelativemotionoftheLorentzspacecraftaboutanarbitraryreferenceorbit.Basedontheproposeddynamicalmodel,feasibilityofLorentz-propelledrendezvouswithnorestrictionsontheinitialstatesisinvestigated.Therendezvousproblemisthenformulatedasanoptimalcontrolproblem,andsolvedwiththeGausspseudospectralmethod(GPM).Numericalsimulationssubstantiatethevalidityofproposedmodelandmethod,andresultsshowthatthepropellantlessrendezvousisachievedatbothfixedandfreefinaltime.
简介:InthispaperthepropagationofLorentz–GaussianbeamsinstronglynonlinearnonlocalmediaisinvestigatedbytheABCDmatrixmethod.Forthispurpose,anexpressionforfielddistributionduringpropagationisderivedandbasedonit,thepropagationofLorentz–Gaussianbeamsissimulatedinthismedia.Then,theevolutionsofbeamwidthandcurvatureradiusduringpropagationarediscussed.
简介:BothexperimentalandnumericalinvestigationsontheflowpastacylinderundertheinfluenceofLorentzforce(electromagneticforce)wereconductedinanelectricallylow-conductingfluid.TheLorentzforceisappliedbothlocally,whollyandperiodicallyonthesurfaceofthecylinder,andtheircontroleffectsforflowseparationwereinvestigatedBothexperimentalandnumericalresultsshowthatLorentzforcecansuppresstheflowseparationwithLorentzforceappliedonbothlocalandwholesurfaceofthecylinder.However,whentheperiodicandoppositeLorentzforceadopted,thecylinderwakecannotbestabilized.
简介:本文旨在给出Banach空间值Hardy—Lorentz鞅空间的共轭空间的完全刻画.首先,对B值鞅引入了一类新的广义Lipschitz鞅空间及“原子鞅”的概念;其次,对B值Hardy-Lorentz鞅空间建立了“原子鞅”的分解定理;最后,以此为工具证明了其共轭空间是广义Lipschitz鞅空间.所得结论将已有的相应结果由实值鞅推广到Banach空间值鞅的情况.
简介:NumericalsimulationsandexperimentalresearcharebothcarriedouttoinvestigatethecontrolledeffectofspanwiseoscillatingLorentzforceonaturbulentchannelflow.ThevariationsofthestreaksandtheskinfrictiondragareobtainedthroughthePIVsystemandthedragmeasurementsystem,respectively.Theflowfieldinthenear-wallregionisshownthroughdirectnumericalsimulationsutilizingspectralmethod.Theexperimentalresultsareconsistentwiththenumericalsimulationresultsqualitatively,andboththeresultsindicatethatthestreaksaretiltedintothespanwisedirectionandthedragreductionutilizingspanwiseoscillatingLorentzforcescanberealized.Thenumericalsimulationresultsrevealmoredetailofthedragreductionmechanismwhichcanbeexplained,sincethespanwisevorticitygeneratedfromtheinteractionbetweentheinducedStokeslayerandintrinsicturbulentflowinthenear-wallregioncanmakethelongitudinalvorticestiltandoscillate,andleadstoturbulencesuppressionanddragreduction.
简介:Inthispaper,weconsideraLorentzspacewithamixednormofperiodicfunctionsofmanyvariables.WeobtaintheexactestimationofthebestM-termapproximationsofNikol'skii'sandBesov'sclassesintheLorentzspacewiththemixednorm.