简介：Inthispaper,wederivethebrightanddarkphotonnumberstatesforspatialinterferenceoftwoormorelightbeamsandsucceedintheexplanationofYoung'sinterferenceexperiment,andalsoachieveabettercomprehensionofthewellknowncommentofDirac"eachphotononlyinterferenceswithitself".Fromthefullyquantumpointofview,theoriginoftheinterferencefringesconsistsinthemodetransformationandthedetectionofdouble-slitstates.

简介：Wefocusonthefullrelativisticquantummechanicalcalculationsfromborontofluorineatomswithelectronicconfigurationof1s22s22pn(n=1,2,3,4,and5),where1s22s2istheclosedshelland2pnistheopenshell.Theiractiveelectronsintheopenshelloccupyallthesixspinorsasfaraspossible.Therefore,wesuggestanewrulecalled'maximumprobability'forthefullsymmetrygrouprelativistictheory.Furthermore,thespectralfinestructureoftheatomicgroundstatesbasedonthefullrelativistictheoryandtheirintervalsofL-Ssplittingareallreasonable.ItisimpossibletocalculatetheL-Ssplittingthroughnon-relativisticquantummechanics.Therelativisticeffectofatomicmassisincreasedsignificantlybyabout12foldsfromboronatomtofluorineatom.

简介：Thepotentialenergycurves(PECs)ofBOmolecule,includingΣ+andΠsymmetrieswithdoubletspinmultiplicities,areobtainedemployingmulti-referenceconfigurationinteraction(MRCI)methodandDunning'scorrelationconsistentbasissets.Theanalyticalpotentialenergyfunctions(APEFs)arefittedusingtheMurrell-Sorbie(MS)functionandtheleastsquaremethod.BasedonthePECs,thespectroscopicconstantsofthestateshavebeendeterminedandcomparedwiththetheoreticalandexperimentalresultsavailabletoaffirmtheaccuracyandliabilityofthecalculations.Theroot-mean-square(RMS)errorsbetweenthefittedresultsandtheabinitiovaluesaretoolittleincomparisonwiththechemicalaccuracy(349.755cm-1).ItisshownthatthepresentAPEFsareaccurateandcandisplaytheinteractionbetweentheatomswell.ThepresentAPEFscanbeusedtoconstructmorecomplicatedAPEFordosomedynamicinvestigations.