With y(r) a wave function in ordinary space and p(p) the corresponding momentum function, show that 1 (a) rupe ir p/h d’

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With Y R A Wave Function In Ordinary Space And P P The Corresponding Momentum Function Show That 1 A Rupe Ir P H D 1 (123.44 KiB) Viewed 22 times

With y(r) a wave function in ordinary space and p(p) the corresponding momentum function, show that 1 (a) rupe ir p/h d’r = ihve!(p), (21)3/2 (b) ry(r)eir p/n d'r = (ihvp)o(p). = (27h)3/2 Note. V, is the gradient in momentum space: а a a  + ĝ + î @px These results may be extended to any positive integer power of r and therefore to any (analytic) function that may be expanded as a Maclaurin series in r. apy apz