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Schrondinger Wave Equation

  1. Jun 6, 2012 #1
    1. The problem statement, all variables and given/known data

    Solving Normalized case of schrondinger wave equation

    2. Relevant equations



    3. The attempt at a solution

    This type of question is not normalized case of solving using schrondiger equation. Any example of solving normalized case using schrondinger equation ? How would it be ? Using same formula and same way of solving ?

    Thank you
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     

    Attached Files:

  2. jcsd
  3. Jun 6, 2012 #2

    vela

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    The Schrodinger equation is a linear equation, so if ##\psi## is a solution, any constant multiple of it will also be a solution. When normalize the solution, you're simply requiring that the constant be chosen such that
    $$\int \psi^*\psi\,dx = 1.$$
     
  4. Jun 6, 2012 #3
    Yes. I am aware about that. Just that I wanted some example problem solving on how to solve for normalize case and how would the question asked ?

    Thank you
     
  5. Jun 7, 2012 #4

    vela

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    What do you mean by "solve for normalize case"? I suggest you look up the infinite square well in your textbook. That's probably the simplest example.
     
  6. Jun 7, 2012 #5
    As attached, the wave equation given is not normalized case and we solve it using Not Normalized method. I want to ask how would it be if the wave equation given is in NORMALISED form and how to solve it ?

    Thank you
     
  7. Jun 7, 2012 #6

    vela

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    What you're saying doesn't make sense. There is no such thing as a normalized case of the wave equation. You have the wave equation. You find solutions. You normalize the solutions. That's it.
     
  8. Jun 7, 2012 #7
    Initially, I get the wave equation , then I try to do see whether the wave equation is normalized or not by see this condition :
    If
    <refer attachment>

    then the wave equation is normalized.

    If it is not, means the wave equation is not NORMALIZED
     

    Attached Files:

  9. Jun 7, 2012 #8

    vela

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  10. Jun 7, 2012 #9
    Have you refer to the very first attachment ? It is given the solution of the wave equation already. But we have to find the momentum in x and y
     
  11. Jun 7, 2012 #10
     
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