Assume that an electron is confined inside a one-dimensional box of width 1 . Estimate the...

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Assume that an electron is confined inside a one-dimensional box of width 1 . Estimate the uncertainty in position of the electron from the probability distribution for an electron in its ground state. Next, determine the energy of the electron in its ground state and calculate the magnitude of the electron p momentum using the relation E- (this is valid because the potential energy is zero inside the box). 2m Finally, use the Heisenberg Uncertainty Principle to obtain the uncertainty in the momentum. Assume that an electron is confined inside a one-dimensional box of width 1 . Estimate the uncertainty in position of the electron from the probability distribution for an electron in its ground state. Next, determine the energy of the electron in its ground state and calculate the magnitude of the electron p momentum using the relation E- (this is valid because the potential energy is zero inside the box). 2m Finally, use the Heisenberg Uncertainty Principle to obtain the uncertainty in the momentum.

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