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Heisenberg and energy of an electron in a potential well

  1. Mar 30, 2008 #1
    [SOLVED] Heisenberg and energy of an electron in a potential well

    1. The problem statement, all variables and given/known data
    An electron is confined within a one dimensional potential well that measures 1 nm. using the uncertainty principle, estimate the order of magnitude for the ground state energy of the electron in the well in eV.


    2. Relevant equations


    3. The attempt at a solution

    i used the equality in the uncertainty principle and substituted DeltaY (uncertainty in position) with 10^-9 m . Then you have only 1 unknown which is DeltaP_y (uncertainty in momentum y - component). I got a number from here and then used it in the expression of the KE in terms of momentum (P^2/2m = KE). unfortunately what i got was sth in the order of 10^31 which is surely wrong.

    Any ideas ?
     
  2. jcsd
  3. Mar 31, 2008 #2
    I got about 10^-21 with the same procedure. Try again and be carefull to use correct units.
     
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