SOLVED:The one-dimensional time-independent Schrödinger wave equation is -(ħ^2)/(2 m) (d^2 ψ(x))/(d x^2) V(x) ψ(x)=E ψ(x) For the special case of V(x) an analytic function of x, show that the corresponding momentum wave equation is V(i ħ(d)/(d p)) g(p) (p^2)/(2 m) g(p)=E g(p) . Derive this momentum wave equation from the Fourier transform, Eq. (15.62), and its inverse. Do not use the substitution x →i ħ(d / d p) directly.
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