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