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Question about wave function and 1 dimensional well

  1. Feb 19, 2014 #1
    1. The problem statement, all variables and given/known data
    Present is a wavefunction of a particle in a 1-dimensional well. Choose the correct potential that could result in this wave function:


    2. Relevant equations
    See below

    3. The attempt at a solution

    I want to make sure I am analyzing this correctly. I think the correct answer here is C. In the wavefunction, it looks as if the wavelength gets shorter as x increases. Thus, doesn't that mean that potential energy decreases, as is seen in C? When wavelength gets shorter, kinetic energy increases at the expense of potential energy.
    Is that correct?
    Last edited: Feb 19, 2014
  2. jcsd
  3. Feb 19, 2014 #2


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    Homework Helper
    Gold Member

    Yes, that's correct.
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