Everett and Hirschmann formulated a stronger version of this statement involving the Shannon entropy. Robertson generalized this statement to arbitrary Hermitian operators. This statement can be formulated for any two observables with nonzero commutator, and the original formulator of this statement demonstrated it with a thought experiment wherein one tries to look at an 
Everett and Hirschmann formulated a stronger version of this statement involving the Shannon entropy. Robertson generalized this statement to arbitrary Hermitian operators. This statement can be formulated for any two observables with nonzero commutator, and the original formulator of this statement demonstrated it with a thought experiment wherein one tries to look at an electron with a microscope. A result of this statement is that the pulse of a struck drum has a well-defined instance in time but occurs over a large range of frequencies. The lower bound in this inequality is h-bar over 2, and one form of this statement relates energy and time. For 10 points, name this principle whose most familiar form states that position and momentum cannot be simultaneously known to arbitrary precision.
Everett and Hirschmann formulated a stronger version of this statement involving the Shannon entropy.
Heisenberg uncertainty principle