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5. Hydrogen atom momentum space wavefunction [2+1+2+1] The time independent momentum space wavefunction in three dimensions is defined by: o(p) = (2h)3/2e-i(pr)/(r)dr (a) Find

5. Hydrogen atom momentum space wavefunction [2+1+2+1] The time independent momentum space wavefunction in three dimensions is defined by: o(p) = (2h)3/2e-i(pr)/(r)dr (a) Find the momentum space wave function for the ground state of hydrogen. Hint: Use spherical coordinates, setting the polar axis along the direction of p. Do the 0 integral first. 1 (b) Check that (p) is normalized. (c) Use o(p) to calculate (p), in the ground state of hydrogen. (d) What is the expectation value of the kinetic energy in this state? Express your answer as a multiple of E, and check that it is consistent with the virial theorem.

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