P21.6 The operator for the square of the total spin of twoelectrons is Stotal = (S₁ + S₂)² = S² + S² +2(S1xS2x + S1yS2y + $1$22). Given thatiħS₁α = /B₁ S₁,α = 22²12SxB=ħ2α,B, S₂α==九↓2ħα,iħħS,ß α₁ S₂B = 1/- B₁a,22show that a (1) a (2) and ß (1) ß (2) are eigenfunctions ofthe operator Stotal. What is the eigenvalue in each case?

Answered: Image /qna-images/answer/68a2d3c3-b897-40f5-8cfa-0671e641812d.jpg

P21.6 The operator for the square of the total spin of two electrons is Stotal = (S₁ + S₂)² = S² + S² + 2(S1xS2x + S1yS2y + $1$22). Given that Sα =B₁ 2 S,B= iħ S,α =B₁ Ŝ₂α 2 = = 九↓2 ħ α, ħ iħ ħ α, Syß α₁ S₂B = 1/- B₁ a, 2 2 2 show that a (1) a (2) and ß (1) ß (2) are eigenfunctions of the operator Stotal. What is the eigenvalue in each case?

P21.6 The operator for the square of the total spin of two electrons is Stotal = (S₁ + S₂)² = S² + S² + 2(S1xS2x + S1yS2y + $1$22). Given that Sα =B₁ 2 S,B= iħ S,α =B₁ Ŝ₂α 2 = = 九↓2 ħ α, ħ iħ ħ α, Syß α₁ S₂B = 1/- B₁ a, 2 2 2 show that a (1) a (2) and ß (1) ß (2) are eigenfunctions of the operator Stotal. What is the eigenvalue in each case?

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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