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26. Use the Fourier transform method to show that the solution of the one-dimensional Schrödinger equation for a free particle of mass m, -00 < x < 0o, t > 0, 2m V (x, 0) = f (x), -00

26. Use the Fourier transform method to show that the solution of the one-dimensional Schrödinger equation for a free particle of mass m, -00 < x < 0o, t > 0, 2m V (x, 0) = f (x), -00

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26. Use the Fourier transform method to show that the solution of the one-dimensional Schrödinger equation for a free particle of mass m, ihube -00 < x < 0, t > 0, 2m V (x, 0) = f (x), -00 < x < ∞, where y and Vr tend to zero as |x| → 0, and h = 2nh is the Planck constant, is given by 1 v (x, t) = f(£)G(x- £) d£, where G (x, t) = (1-i 25 is the Green's function and y= exp 4iyt 2m
Transcribed Image Text:26. Use the Fourier transform method to show that the solution of the one-dimensional Schrödinger equation for a free particle of mass m, ihube -00 < x < 0, t > 0, 2m V (x, 0) = f (x), -00 < x < ∞, where y and Vr tend to zero as |x| → 0, and h = 2nh is the Planck constant, is given by 1 v (x, t) = f(£)G(x- £) d£, where G (x, t) = (1-i 25 is the Green's function and y= exp 4iyt 2m
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