Properties of a slater determinant wave function (a) (like 8-20 in mcquarrie) show that the slater determinant (a “determinantal wave function” in the language of your text) 1 lsa(l) 1s(1) > 2 lsa(2) 1s(2) can be factored into a space part (function of spatial coordinates only) times a spin part. note that here and below ls a(1) denotes a spin orbital that is a function of both space and spin, namely lsa(l)= 0 (r)a(o), and similarly for 1s (1) 1,2)= (b) show that this wave function is normalized if the 1s (space) orbital appearing in the determinant is normalized and when the integrations are done over both space and spin.