Minimizing The Joint Uncertainty Product

- Let x0=0.
- The spectra of real functions are symmetric,
= 0.
- Denominators are the function energy.
- In the numerator of the product,
U2=(
x)2 (
)2, we have the product of two integrals, the integrands of which are squares.
Thus we can use Schwartz's inequality to find an upper bound.