简介:WeuseamodifiedBecke-JohnsonexchangeplusalocaldensityapproximationcorrelationpotentialwithinthedensityfunctionaltheorytoinvestigatetheelectronicstructuresofHg1-xCdxTeandIn1-xGaxAswithxbeing0,0.25,0.5,0.75,and1.Forbothofthetwoseries,ourcalculatedenergygapsanddielectricfunctions(realpartε1andimaginarypartε2)areinagreementwiththecorrespondingexperimentalresultswithxbeingbetween0and1.Thecalculatedzero-frequencyrefractiveindexvariesgreatlywithxforHg1-xCdxTe,butchangeslittlewithxforIn1-xGaxAs,whichisconsistentwiththerealpartsoftheirdielectricfunctions.Therefore,thisnewapproachissatisfactorytodescribetheelectronicstructuresandtheopticalpropertiesofthesemiconductors.
简介:BasedontheGrammianandPfaffianderivativeformulae,GrammianandPfaffiansolutionsareobtainedfora(3+1)-dimensionalgeneralizedshallowwaterequationintheHirotabilinearform.Moreover,aPfaffianextensionismadefortheequationbymeansofthePfaffianizationprocedure,theWronski-typeandGramm-typePfaffiansolutionsoftheresultingcoupledsystemarepresented.
简介:Basedonthecovariantprolongationstructuretechnique,weconstructtheintegrablehigher-orderdeformationsofthe(2+1)-dimensionalHeisenbergferromagnetmodelandobtaintheirsu(2)×R(λ)prolongationstructures.ByassociatingthesedeformedmultidimensionalHeisenbergferromagnetmodelswiththemovingspacecurveinEuclideanspaceandusingtheHasimotofunction,wederivetheirgeometricalequivalentcounterparts,i.e.,higher-order(2+1)-dimensionalnonlinearSchrdingerequations.