Unformatted text preview: a is the Bohr radius. (a) Find the momentum space wavefunction ˜ ψ 1 s ( ~ p ) . Note: it is useful ﬁrst to prove that if f ( ~x ) = f ( r ) , then F ( ~ q ) = Z e-i~ q · ~x f ( ~x ) d 3 x = 4 π q Z ∞ f ( r ) sin( qr ) rdr. (4) (b) Starting from ˜ ψ 1 s ( ~ p ) , determine the probability distributions for (i) a measurement of the mag-nitude of the momentum without any reference to direction and (ii) a measurement of one of the components of the momentum without reference to the other two components. 1...
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- Fall '09
- Sakurai, momentum space wavefunction, 1s wave function, spherical radial coordinate