Question

7. Show that the Hartree-Fock guess wave function for helium V,(x1, x2) = -5°18(2)(ru)018(2)(r2) [4p(S3,1)+(2,2) – 24 (S2,2)41 (S.2,1)] is properly normalized. Note that you must integrate over the coordinates and sum over the two values each Sz variable can assume.

please help.

Answer 1

me Auswer: We have to show (4 (24, 22) 414, 42)) = het integral is s 4?* x2) 219, xz) dt. <2+(94,392 / +(94,4337 = { 4:52,63 4.5 ()744 (41) 4(827)= 4($2,2) 4 ($2,3]/ to Pisces (0) 4103) [7; ($25) 4x(Sun) – 7($22) 43 (Sz,d)) Edit/73 4,82(ms) (Szl) S232164,13 4,5,6m2) 4 (69Y5J) (,) .4 4 (2 2. (9) Tisz 4, ², Y (D)' 33' -< 4.100 7,102 tron Wess 1 4,4,103) torce 16 > > (m) + < 7 (6) 7 (N2) "49222. Als | Tison 7 (182) 49 (2) 42 (17) -D) Note that I = Ill=0 because Prcos -4460 - Palco Fares = 0 and I = I1 = 1 So <2+(2, 339/4/01, 23)} > Litli+i) - 1.231