Two protons, located on the z-axis and separated by a distance d (i.e., ř = dk), are subject to a z-oriented magnetic field B = Bk. (a) Ignoring all interactions between the two protons, find the energy levels and stationary states of this system. (b) Treating the dipole-dipole magnetic interaction energy between the protons, p2 as a perturbation, calculate the energy using first-order perturbation theory.

Two protons, located on the z-axis and separated by a distance d (i.e., ř = dk), are subject to a z-oriented magnetic field B = Bk. (a) Ignoring all interactions between the two protons, find the energy levels and stationary states of this system. (b) Treating the dipole-dipole magnetic interaction energy between the protons, p2 as a perturbation, calculate the energy using first-order perturbation theory.

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Question

Two protons, located on the z-axis and separated by a distance d (i.e., 7 = dk), are subject to a
z-oriented magnetic field B = BK.
(a) Ignoring all interactions between the two protons, find the energy levels and stationary
states of this system.
(b) Treating the dipole-dipole magnetic interaction energy between the protons,
1
r2
as a perturbation, calculate the energy using first-order perturbation theory.

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