At a certain instant of time, a particle in a one dimensional box of length l (Fig 2 1) is in a nonstationary state with (105 l7)1 2x2(l x) inside the box For this state, find x and px and verify that the uncertainty principle x px 1 2 h is obeyed ...

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At a certain instant of time, a particle in a one-dimensional box of length l (Fig. 2.1)

Question:

At a certain instant of time, a particle in a one-dimensional box of length l (Fig. 2.1) is in a nonstationary state with ψ = (105 / l7)1/2x2(l - x) inside the box. For this state, find Δx and Δpx and verify that the uncertainty principle Δx Δpx ≥ 1/2 h is obeyed.