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Prove e^(a+b)=e^a*e^b*e^-k/2 if [a,b]=k | physics forums, And using a power series again, i found (e^a)*(e^b) = (e^b)*(e^a) * e^-k, which is clearly very close to what i am trying to show. i keep staring at that neat partial derivative of coefficients trick, trying to see. Real analysis - prove that $e^a e^b = e^{a+b, Stack exchange network consists of 174 q&a communities including stack overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers visit stack exchange. ˚ b˜ ˚ b e b e! dec f e˛#$ e, Abc defdc f d e ˘ˇˆˆ˙ ˝ ˇ %$ d bde& aab c b cabd ebbacbf b c f f cca bf b a b b b ˘ a f ˇˆ b˙e b˝ˆ ˛ ˝˘ ˚ b˜˝ f !.

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