Whenever I pass through Baker Street in London (of Sherlock Holmes fame) a voice in my head always says "Campbell Hausdorff Street" :/
If A & B are linear operators, then in general eᴬeᴮ ≠ eᴬ⁺ᴮ. Rather, it is given by BCH formula. The dots on the right indicate an infinite number of nested commutators ( e.g. [A, [A,B]] ). There is no known closed form for this expression.pic.twitter.com/gpjI7cRXBe
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It (BCH sometimes called CBH) is one of the most important formula in the curriculum of Lie groups in theoretical physics.
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Is there a proof that the expression on the right converges?
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wish you had included more terms - almost looks like some form of a Taylor series or something like it but impossible to tell from the first few terms
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