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Wave Properties of particles. Schrodinger Equation.

Problem 6.69

A free electron was initially confined within a region with linear dimensions l=0.10nml=0.10 \mathrm{nm}. Using the uncertainty principle, evaluate the time over which the width of the corresponding train of waves becomes η=10\eta=10 times as large.

Reveal Answer
Δt≈ηml2/ℏ≈10−16 s\Delta t \approx \eta m l^{2} / \hbar \approx 10^{-16} \mathrm{~s}
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