简介:Theground-stateandthermodynamicpropertiesofquantummixed-spinchainsof1/2-1/2-1-1and3/2-3/2-1-1areinvestigatedbyaquantumMonteCarlosimulationwiththeloop-clusteralgorithm.For1/2-1/2-1-1chain,wefindithastwophasesseparatedbyanenergy-gapvanishingpointintheground-state.For3/2-3/2-1-1chain,thenumericalresultsshowtwoenergy-gapvanishingpointsisolatedbydifferentphasesinitsground-state.Ourcalculationsindicatethatallthesegroundstatephasescanbeunderstoodbymeansofvalence-bond-solidpicture,andthethermodynamicbehavioratfinitetemperaturesiscontinuousasafunctionofparameterα=J2/J1.
简介:Inthispaper,thetwo-dimensionalMarcinkewiczintegralintroducedbySteinμ(f)(x)=(∫0x|∫|x-y|≤1|x-y|Ω(x-y)f(y)dy|2t-3dt)2isshowntobeofweaktype(1,1)andweightedweaktype(1,1)withrespecttopowerweight|x|"if-1<α<0,whereΩishomogeneousofdegree0.hasmeanvalue0andbelongstoLlog+L(S1).
简介:Thereactionof1-phenyl-3-methyl-4-benzoyl-2,5-dihydro-1H-pyrazol-5-one(PMBP)andmethyldithiocarbazate(mdtc)inmethanolresultsinformationofayellowcrystallinesolid,adductof1-phenyl-3-methyl-4benzoyl-2,5-dihydro-lH-pyrazol-5-oneandmethyldithiocarbazate.Whentheyellowsolidsweredissolvedinamixtureofmethanolandether(1:4),aredcrystal,whichisanoxidationproductoftheformer,wasobtainedbyallowingsolventtoevaporateforafewdaysatroomtemperature.TheX-rayanalysisoftheredcrystalindicatesthatitisanoveldisulfidewithaspecialstructurelikea“U”conformationinthesolidstate.
简介:In2014,theresearchersofTheoreticalPhysicsGroupatIMPhavecarriedouttheirresearchworkonnuclearphysics,heavyionphysicsandhadronphysics.Someimportantresultshavebeenobtained.Thethree-bodyforce(TBF)effectontheoff-shellbehavioroftheneutronandprotonmassoperatorsinasymmetricuclearmatterhasbeeninvestigatedwithintheframeworkoftheextendedBrueckner-Hartree-Fockapproach[1].Athighdensitieswellabovethenormalnuclearmatterdensity,theTBFisshowntoaffectsignificantlytheoff-shellehaviorofboththeprotonandneutronmassoperators.Thedensitydependenceofsymmetryenergyaroundtheuclearsaturationdensityhasbeenstudied[2].Anewapproachhasbeenproposedandappliedtodeterminetheymmetryenergycoefficientofheavynucleibasedontheavailableexperimentalnuclearmassesofheavynuclei.Theobtainedresultisadoptedtoanalyzethedensitydependenceofsymmetryenergyofnuclearmatteraroundtheaturationdensity.TheslopeparameteratthesaturationdensityisdeterminedtobeL=(50.515.5)MeV.
简介:α-Aminonitrileswerepreparedefficientlyfromanodiccyanationofα-aminoester.Theeffectofdifferentsolventsandelectrolyteswasstudied.Theotherbyproductswereanalyzed.
简介:Anewspectralproblemisproposed,andnonlineardifferentialequationsofthecorrespondinghierarchyareobtained.Withthehelpofthenonlinearizationapproachofeigenvalueproblems,anewfinite-dimensionalHamiltoniansystemonR2nisobtained.Ageneratingfunctionapproachisintroducedtoprovetheinvolutionofconservedintegralsanditsfunctionalindependence,andtheHamiltonianflowsarestraightenedbyintroducingtheAbel-Jacobicoordinates.Atlast,basedontheprinciplesofalgebracurve,thequasi-periodicsolutionsforthecorrespondingequationsareobtainedbysolvingtheordinarydifferentialequationsandinversingtheAbel-Jacobicoordinates.