Position-momentum uncertainty products.

We point out two interesting features of position-momentum uncertainty product: U = ΔxΔp. We show that two special (non-differentiable) eigenstates of the Schrödinger operator with the Dirac delta potential [V(x) = −V0δ(x)], V0 > 0, also satisfy Heisenberg’s uncertainty principle by yielding . One of these eigenstates is a zero-energy and zero-curvature bound state. [ABSTRACT FROM AUTHOR]