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An electron is located in a unidimensional square potential well with infinitely high walls. The width of the well is l. From the uncertainty principle estimate the force with which the electron possessing the minimum permitted energy acts on the walls of the well. |
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Answer» Solution :BY uncertainty principle, the uncertainty in momentum `DeltaP UNDERSET(~)gt(ħ)/(L)` For the ground state, we expect `Delat P~P` so `E~(ħ^(2))/(2 m l^(2))` The force exceted on the wall can be OBTAINED most simply from `F= -(delU)/(dell)=(ħ^(2))/(m l^(3))` |
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