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    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.

    © BrainMass Inc. brainmass.com October 10, 2019, 5:47 am ad1c9bdddf
    https://brainmass.com/physics/wavefunction/momentum-wave-function-hydrogen-atom-517461

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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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