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Fun fact, there is an uncertainty relation for all non-commuting operators/observables!
indeed, the generalized uncertainty principle .. even generalizes to anticommutators as well
anti-commutating meaning?
{A,B} instead of [A,B]
What’s the connection to Fourier Theory? My understanding was that to get a sharper PDF in position space you need a larger sum of waves, and thus a broader PDF in momentum space — and vice versa. What’s the connection to commutators/anticommutators?
this means that they are fourier conjugates, which momentum and position are
Wah???? Off to the web I go....
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