The momentum wave function for the hydrogen atom
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The hydrogen atom ground state may be described by the spatial wave function as:
phi(r)= [(1/(Pi*(a_0^(3)))^(1/2)]*e^(-r/a0)
This is where a_0 is the Bohr radius. Using the following equation, please calculate the momentum wave function.
integral[(e^(-a*r + i*b*r))*(d^(3))*(r) = 8*Pi*a/((a^(2) + b^(2))^(2))
See the attached file for the breakdown of this solution with adequate symbols and notation.
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Solution Summary
We calculate the momentum wave function for the ground state of the hydrogen atom using the Fourier transform of the spatial wave function.
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