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Homework Help: Infinite square-well potential

  1. May 7, 2010 #1
    1. The problem statement, all variables and given/known data
    Consider an electron trapped in an infinite square-well potential. If the width of the well is equal to the position uncertainty, what would be the lowest energy level for this electron

    2. Relevant equations

    3. The attempt at a solution
    I tried the equation for energy of a particle in a box but it requires the width and I don't know how to use the given fact that it is equal to the position uncertainty. Any help is greatly appreciated.
  2. jcsd
  3. May 7, 2010 #2


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    The problem wants you to use the uncertainty principle to estimate the momentum of the particle and find its corresponding energy.
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