We have obtained very accurately calculated nonrelativistic values of the i
ndex of refraction and the Verdet constant of helium gas. We have used the
Breit-Pauli operator to obtain corrections of order alpha(2) to the same op
tical quantities. This required us to analyze the scattering of light by he
lium atoms correct up to third order: second order in the electromagnetic f
ield and first order in the Breit-Pauli operator. We compare these results
with experimental values and find some significant discrepancies. [S1050-29
47(98)06212-X].