Question

Prove that the average dipole moment of an atom, including the effect of the spin-orbit interaction is given by μ avg= g(-e/2m)J​

Answer 1

Answer:

Prove that the average dipole moment of an atom, including the effect of the spin-orbit interaction is given by μ avg= g(-e/2m)J, where the Lande factor g is given by.

[Hint: to prove the relation and derivate the formula for the Lange factor g, assume LS coupling for the total dipole moment and use Figure 9.10 to figure the projection of μ along J]