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 2m (this is valid because the potential energy is zero inside the box). Finally, use the Heisenberg Uncertainty Principle to obtain the uncertainty in the momentum. What proportion is the uncertainty in the momentum relative to the magnitude of the momentum? How does the uncertainty in the momentum and the proportion relative to the magnitude of the momentum change if the box size is increased to 10 ? 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 2m (this is valid because the potential energy is zero inside the box). Finally, use the Heisenberg Uncertainty Principle to obtain the uncertainty in the momentum. What proportion is the uncertainty in the momentum relative to the magnitude of the momentum? How does the uncertainty in the momentum and the proportion relative to the magnitude of the momentum change if the box size is increased to 10 ?
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Related Book For
Physics
ISBN: 978-0077339685
2nd edition
Authors: Alan Giambattista, Betty Richardson, Robert Richardson
Posted Date:
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