The state of a free particle is described by the following wave function (Fig. 3.1)
ψ(x) = 0 for x < −3a
= c for − 3a < x < a
= 0 for x > a
(a) Compute < x > and σ2
(b) Calculate the momentum probability density.
(a) The expectation values are
(b) Momentum probability density is |ϕ(p)|2
