简介:Friedberg,LeeandZhao(FLZ)proposedamethodforeffectivelyevaluatingtheeigenenergiesandeigenwavefunctionsofquantumsystems.Inthiswork,westudyseveralspecialcasestoinvestigateapplicabilityofthemethod.Concretely,wecalculatetheground-stateeigenenergyoftheHellmannpotentialaswellastheCornellpotential,andalsoevaluatetheenergiesofthesystemswherelineartermisaddedtotheCoulombasaperturbation.Theresultsobtainedinthismethodhaveasurprisingagreementwiththetraditionalmethodorthenumericalresults.Sincetheresultsinthismethodhaveobviousanalyticitycomparedtothatinothermethods,andbecauseofthesimplicityforcalculationsthismethodcanbeappliedtosolvingtheSchrodingerequationandprovidesusabetterunderstandingofthephysicalessenceoftheconcernedsystems.ButmeanwhileapplicationsoftheFLZmethodarerestrictedatpresent,especiallyforcertainpotentialforms,butduetoitsobviousadvantages,itshouldbefurtherdeveloped.