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Schrodinger's equation and potential energy

  1. Mar 24, 2007 #1
    1. The problem statement, all variables and given/known data

    1. In a region of space, a particle with zero total energy E has a wavefunction

    ψ (x) = A x exp - (x2/L2)

    a) Find the potential energy U as a function of x
    b) Make a sketch of U(x) versus x

    2. Relevant equations

    time independent schrodinger's equation
    [​IMG]

    3. The attempt at a solution

    [​IMG]

    judging by the nature of the equation, the graph of U(x) against x seems to be that of a quadratic curve with the minimum point below the y-axis.

    did i get it correct? im abit uncertain...
     
  2. jcsd
  3. Mar 24, 2007 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    That looks fine to me.
     
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