euclidean resonance application to physical and chemical experiments

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1、EUCLIDEANRESONANCE:APPLICATIONTOPHYSICALANDCHEMICALEXPERIMENTSB.IvlevDepartmentofPhysicsandAstronomyUniversityofSouthCarolina,Columbia,SC29208andInstitutodeF´ısica,UniversidadAut´onomadeSanLuisPotos´ıSanLuisPotos´ı,S.L.P.78000MexicoAbstractThephenomenonofEuclideanresonance(astrongenhancementofquant

2、umtunnelingthroughanonstationarypotentialbarrier)isappliedtodisinte-grationofatomsandmoleculesthroughtunnelbarriersformedbyappliedconstantandtime-dependentelectricfields.Therearetwodifferentchannelsforsuchdisintegration,electronicandionic.Theelectronicmechanismisas-sociatedwiththeionizationofamolecul

3、eintoanelectronandapositiveion.Therequiredfrequenciesareinawiderangebetween100MHZandinfrared.Thismechanismmayconstituteamethodofselectivedestructionofchemicalbonds.Theionicmechanismconsistsofdissociationofamoleculeintotwoions.Sinceanionismoremassivethananelectron,thenecessaryfrequencyisabout1MHZ.Th

4、isprovidesatheoreticalpossibilityofanewmethodofisotopeseparationbyradiofrequencywaves.PACSnumber(s):03.65.Xp,03.65.Sq,42.50.HzarXiv:quant-ph/0404023v15Apr2004TypesetusingREVTEX1I.INTRODUCTIONQuantumtunnelingthroughnonstationarypotentialbarriersisveryunusual.Theprob-lemwasaddressedinRefs.[1]and[2].T

5、hemethodofcomplexclassicaltrajectorieswasdevelopedinRefs.[3–6].RecentachievementsinsemiclassicaltheoryarepresentedinRefs.[7–12].Seealsotherelatedpapers[13–16].InRefs.[17,18]theadvancedapproachwasdevelopedtogobeyondthemethodofclassicaltrajectoriesandtoobtainaspace-timedependenceofthewavefunctioninse

6、miclassicalregime.WhenanonstationaryfieldisverysmallthepenetrationofaparticlethroughabarrierdiffershardlyfromaconventionaltunnelingdescribedbythesemiclassicaltheoryofWentzel,Kramers,andBrillouin(WKB)[19].Atarelativelybignonstationaryfieldanover-barriermotionentersthegamewhenaparticleshouldabsorbanumbe

7、rofquantatoreachthebarriertop.Inthispaperweconsidersoftnonstationaryfieldswithatypicalfrequencymuchlessthanthebarrierheight.Thismeansthataparticlehastoabsorbabignumberofquantatoreachthebarriertop.Inthelangua