  The following question was proposed by Avi Wigderson and Yuval Wigderson: Is
it possible to use the method in their paper(The uncertainty principle:
variations on a theme) to prove Heisenberg uncertainty principle in higher
dimension R^d, and get the correct dependence of the constant on d? We answer
this question affirmatively, and also prove some generalizations of Heisenberg
uncertainty principle in R^d via Wigdersons' method.
