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Schrodinger Equations

  1. Sep 16, 2011 #1
    1. The problem statement, all variables and given/known data

    Suppose the wave function for a particle of mass m in one dimension is
    psi(x)= (const)ex2/4l2

    express this wave function in terms of a fourier series or integral.

    I know that psi(x)=[itex]\sum[/itex]k (ak *eikx) for a plane wave. I have no idea where to go from here. Any help is appreciated. I don't even know what the L in the wave function represents. Psi(x) should look like a gaussian curve.
     
    Last edited: Sep 16, 2011
  2. jcsd
  3. Sep 16, 2011 #2

    vela

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    You're missing a negative sign in the exponent. It should be [tex]\psi(x) \propto e^{-\frac{x^2}{4l^2}}[/tex]If you express it as a Fourier integral, you have[tex]\psi(x) = \frac{1}{2\pi}\int_{-\infty}^\infty f(k)e^{ikx}\,dk[/tex]You need to figure out what f(k) is.
     
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