The Fourier Transformations are given by f(x)= = 1 (k) exp(ikx) dk, 1 88 (k) =...

  

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The Fourier Transformations are given by f(x)= = 1 (k) exp(ikx) dk, 1 88 (k) = f(x) exp(-ikr) (x) dr. Consider an initial wave function where ko and L are constants. V(x, 0) = C exp[-|x|/L] exp[ikox], == (a) Sketch the probability density P(x) for t = 0. (b) Determine (k) and then sketch |(k)|2. (c) Estimate Ak and Ax, and then estimate the product Apx. The Fourier Transformations are given by f(x)= = 1 (k) exp(ikx) dk, 1 88 (k) = f(x) exp(-ikr) (x) dr. Consider an initial wave function where ko and L are constants. V(x, 0) = C exp[-|x|/L] exp[ikox], == (a) Sketch the probability density P(x) for t = 0. (b) Determine (k) and then sketch |(k)|2. (c) Estimate Ak and Ax, and then estimate the product Apx.