2) Derive the free-space Green function, GR(x, xo;w), for the 1-D Schrödinger equation. Steps: Note that this is in the Fourier domain with respect to time. This will require complex contour integration. You will also need to take the inverse Fourier transform, with respect to time, to make sure that your Green function is causal. The wrong choice of sign in your ie will cause your G to be anti-causal.
2) Derive the free-space Green function, GR(x, xo;w), for the 1-D Schrödinger equation. Steps: Note that this is in the Fourier domain with respect to time. This will require complex contour integration. You will also need to take the inverse Fourier transform, with respect to time, to make sure that your Green function is causal. The wrong choice of sign in your ie will cause your G to be anti-causal.
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Transcribed Image Text:2) Derive the free-space Green function, GR(x, xo; w), for the 1-D Schrödinger equation.
Steps: Note that this is in the Fourier domain with respect to time. This will require complex
contour integration. You will also need to take the inverse Fourier transform, with respect to time,
to make sure that your Green function is causal. The wrong choice of sign in your ie will cause
your G to be anti-causal.
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