简介:Thisisafollowofpreviousworkentitled"OneElectronAtominSpecialRelativitywithdeSitterSpaceTimeSymmetry"[Commun.Theor.Phys.57(2012)930].Inthispaper,weconsiderthehigherordercalculationsandcontributionsinthepreviousframeworktosolveoneelectronatomsindeSitterinvariantrelativisticquantummechanics.Thenext-to-leading-ordercalculationsin1/R2-expansionsshowthatthefine-structureconstantαisvariantwithcosmologictimegoingbyinthedeSitterinvariantspecialrelativisticquantummechanicswithstandardFRWcosmologicmodel.