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Separation of Schrodinger Equation

  1. Mar 31, 2010 #1
    1. The problem statement, all variables and given/known data

    Show that the time-dependent Schrodinger equation is separable when V depends on time only and is uniform in space (i.e., V = V (t)).



    2. Relevant equations



    3. The attempt at a solution

    In the attached document
     

    Attached Files:

  2. jcsd
  3. Mar 31, 2010 #2

    vela

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    Your work is fine up to here:

    [tex]-\frac{\hbar^2}{2m}\frac{\partial^2\psi}{\partial x^2}=E\psi[/tex]

    [tex]i\hbar\frac{1}{\Theta}\frac{\partial \Theta}{\partial t}-V(t)=E[/tex]

    You made a simple algebra mistake in the next step of the theta equation. Your attempts to solve the differential equations are seriously misguided. These are pretty basic differential equations. You should review how to solve them.
     
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