▁of ▁the ▁shot ▁noise ▁of ▁the ▁current ▁ ▁for ▁short ▁circ u ited ▁device ▁terminal s , ▁i . e . ▁when ▁the ▁' s ▁are ▁constant , ▁by ▁applying ▁the ▁third ▁member ▁of ▁the ▁first ▁equation ▁of ▁the ▁above ▁Section . ▁To ▁this ▁end , ▁let ▁us ▁explo it ▁the ▁Fourier ▁coefficient ▁ ▁and ▁the ▁relationship ▁ ▁where ▁, ▁ ▁in ▁the ▁second ▁term ▁and ▁ ▁in ▁the ▁third . ▁If ▁we ▁define ▁with ▁ ▁and ▁ ▁the ▁beginning ▁and ▁the ▁end ▁of ▁the ▁j th ▁car rier ▁motion ▁inside ▁, ▁we ▁have ▁either ▁ ▁and ▁ ▁or ▁vice ▁vers a ▁( the ▁case ▁of ▁ ▁give ▁no ▁contribution ), ▁so ▁that ▁from ▁the ▁first ▁equations ▁of ▁the ▁above ▁and ▁of ▁this ▁Section , ▁we ▁get ▁▁ ▁, ▁ ▁where ▁ ▁is ▁the ▁number ▁of ▁the ▁carri ers ▁( with ▁equal ▁charge ▁q ) ▁that ▁start ▁from ▁( ar rive ▁on ) ▁the ▁electro de ▁of ▁interest ▁during ▁the ▁time ▁interval ▁. ▁Finally ▁for ▁, ▁ ▁being ▁the ▁correlation ▁time , ▁and ▁for ▁carri ers ▁with ▁a ▁motion ▁that ▁is ▁statist ically ▁independent ▁and ▁a ▁Po isson ▁process ▁we ▁have ▁, ▁ ▁and ▁ ▁so ▁that ▁we ▁obtain ▁▁ ▁, ▁ ▁where ▁ ▁is ▁the ▁average ▁current ▁due ▁to ▁the ▁carri ers ▁leaving ▁( re aching ) ▁the ▁electro de . ▁Therefore , ▁we ▁recover ▁and ▁extend ▁the ▁Sch ott ky ' s ▁theorem ▁on ▁shot ▁noise . ▁For ▁instance ▁for ▁an ▁ideal ▁p n ▁j unction , ▁or ▁Sch ott ky