The (time-independent) momentum space wave function in three dimensions is defined by the natural generalization of Equation

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The (time-independent) momentum space wave function in three dimensions is defined by the natural generalization of Equation 3.54:

(a) Find the momentum space wave function for the ground state of hydrogen (Equation 4.80).

(b) Check that ϕ (p) is normalized.
(c) Use ϕ (p) to calculate (p2), 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 E1, and check that it is consistent with the virial theorem (Equation 4.218).

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Introduction To Quantum Mechanics

ISBN: 9781107189638

3rd Edition

Authors: David J. Griffiths, Darrell F. Schroeter

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