For an atom in a uniform magnetic field B₀ = B₀ Ẑ, Equation 4.230 gives

where L_z and S_z refer to the total orbital and spin angular momentum of all the electrons.
(a) Treating the terms involving B₀ as a perturbation, compute the shift of the ground state energy of a helium atom to second order in . Assume that the helium ground state is given by

where Ψ100 refers to the hydrogenic ground state (with Z = 2).
(b) Use the results of Problem 7.49 to calculate the magnetic susceptibility of helium. Given a density of 0.166kg/m³, obtain a numerical value for the susceptibility.

Transcribed Image Text:

H Hatom Bo (YoLz + y Sz) + = 8m Z B² Σ (x² + y²), i=1