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Suppose the wave function for a particle of mass m in one dimension is

psi(x)= (const)e^{x2/4l2}

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

I know that psi(x)=[itex]\sum[/itex]_{k}(a_{k}*e^{ikx}) 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.

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# Schrodinger Equations

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