A single electron is trapped in a potential box of typical size 150 nm. Estimate the electrostatic charging energy required to add a second electron to the box. Compare this energy with the typical single-particle level splitting in the box. How do your results depend on the relative dielectric constant of the material in which the box is realized?

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Chapter1: Units, Trigonometry. And Vectors
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A single electron is trapped in a potential box of typical size 150 nm. Estimate the

electrostatic charging energy required to add a second electron to the box. Compare

this energy with the typical single-particle level splitting in the box. How do your

results depend on the relative dielectric constant of the material in which the box is

realized?

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