The pdf version is Uncertainty principle. The nice note of terrence tao seems given a nice answer for the problem below. 1. Introduction Is there a Brunn-Minkowski inequality approach to the phenomenon charged by uncertainty principle? More precisely, is it possible to say some thing about the Gaussian distribution $ G(x)=e^{-|x|^2} \ \ \ \ \ (1) $ to be the best choice that $ {\|\hat G-G\|_2} $ arrive minimum? Remark 1 Or some other suitable distance space on reasonable function (ma…
