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Uncertainty in Energy an ground state energy

  1. Oct 11, 2011 #1
    I'm asked to show that in the ground state, a particle trapped in a potential well approximately equal to its lowest allowed energy.

    I know the expression for the energy is h^2/8mL^2 for a finite well, and ΔEΔt~h/2π. But I'm at a loss as to how I'm supposed to even begin to start this.

    Attempts at a solution: I played around with Heisenberg's uncertainty principle, the energy uncertainty principle, and the Schrodinger equation for minimum allowed energy that I listed above, but didn't really get anywhere meaningful.
  2. jcsd
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