The operator for the square of the total spin of two electrons is Given that show that

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The operator for the square of the total spin of two electrons is

Sotal = ($ + $;}² = $} + $3 + 2(§¡„§2» + §¡»$,, + $j$).

Given that

S,α-3β. 5,α = 1β 5,a- Ŝ„B = - in -α, ρ-3 p---p 6,β -5a 3,β = -η α, sβ. 2

show that α(1)α (2) and β(1)β(2) are eigenfunctions of the operator Ŝ2total . What is the eigenvalue in each case?

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Physical Chemistry

ISBN: 978-0321812001

3rd edition

Authors: Thomas Engel, Philip Reid

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