In this problem you will supply the missing steps in the derivation of the formula E singlet
Question:
a. Expand Equation (22.17) to obtain
b. Starting from the equations 1 2 HË i1s(i) = E s1s(i) and HË i 2s(i) = E s 2s(i), show that
c. Expand the previous equation using the definitions
to obtain the desired result, Esinglet = E1s + E2s + J + K.
Transcribed Image Text:
1 [[ls(1)2s (2) + 2s (1) Is (2)](H1) [1s (1) 2s (2) + 2s (1) ls (2)]dT¡dr2 Esinglet [ls(1)2s (2) + 2s (1) Is (2)](Ĥ2) [1s (1) 2s (2) + 2s (1) 1s (2)]dT¡dr2 S/ [1s (1) 2s (2) + 2s (1) 1s (2)] × 121(2) 4πεο Γ-1 , [1s (1) 2s (2) + 2s (1) ls (2)]dr¡dr2 singlet = E + E. jus02C)- [Ls1)25(2) + 25(1)ls(2)]| 4πεο μ-2) [1s (1) 2s (2) + 2s (1)1s(2)] d, dr,
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a The integral can be expressed as the sum of three integrals each containing one of the three ...View the full answer
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