Energies of a spherical quantum dot (a) Derive the formula (63) for the charging energy. (b) Show
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Energies of a spherical quantum dot
(a) Derive the formula (63) for the charging energy.
(b) Show that, for d << B. the result is the same as that obtained using the parallel plate capacitor result. C = εε0A/d.
(c) For the case of an isolated dot, d → ∞. Find the ratio of’ the charging energy to lowest quantized energy level. Express your answer m terms of the radius R of the dot and the effective Bohr radius aB.
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