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Wave Properties of particles. Schrodinger Equation.

Problem 6.70

Employing the uncertainty principle, estimate the minimum kinetic energy of an electron confined within a region whose size is l=0.20nml=0.20 \mathrm{nm}

Reveal Answer
 6.70. Tmin⁡≈ℏ2/2ml2=1eV . Here we assumed that p≈Δp and Δx=l . \begin{aligned} &\text { 6.70. } T_{\min } \approx \hbar^{2} / 2 m l^{2}=1 \mathrm{eV} \text { . Here we assumed that } p \approx \Delta p\\ &\text { and } \Delta x=l \text { . } \end{aligned}
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