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Homework Help: Calculate the energies of the six lowest states

  1. Aug 9, 2010 #1
    1. The problem statement, all variables and given/known data

    Suppose that a particle of mass m is confined to move in the x-y plane in a 2-dimensional box of length Lx = L and LY = ½ L. Calculate the energies of the six lowest states.


    2. Relevant equations
    not sure to set up this problem?


    3. The attempt at a solution
    the most I can get is
    E = (h^2π^2(n1^2+.5n2^2))/ 2mL^2
    E = (h^2π^2)/ mL^2
    and I dont think this is right
     
  2. jcsd
  3. Aug 9, 2010 #2
    Why do you have two energy equations? You know how to separate the wavefunction and solve for it in 2 dimensions. What can you say about the total energy after you separated the variables?
     
  4. Aug 9, 2010 #3
    thats because I dont know how to set the problem up, i pulled those equations out of the book and am not sure what im doing
     
  5. Aug 9, 2010 #4
    You should read how the first equation you listed was derived. That way you can reproduce it for your problem.
     
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