The product Δx Δp of uncertainties in the position and momentum of a simple harrionic oscillator of mass m and angular frequency ω in the ground state |0〉, is h̅/2. The value of the product Δx Δp in the state e−iβℓ/h̅∣0〉 (where ℓ is a constant and p̂ is the momentum operator) is
1
\(\rm\frac{h̅}{2} \sqrt{\frac{m \omega \ell^2}{h̅}}\)
2
h̅
3
\(\rm\frac{h̅}{2}\)
4
\(\rm\frac{h̅^2}{m \omega \ell^2}\)