A system of two electrons has the wave function c1r S 1, r

Chapter 41, Problem Q41.24

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A system of two electrons has the wave function c1r S 1, r S 22 = 11>1223ca1r S 12cb1r S 22 - cb1r S 12ca1r S 224, where ca is a normalized wave function for a state with Sz = + 1 2 U and cb is a normalized wave function for a state with Sz = - 1 2 U. (a) If Sz for electron 1 is measured, what are the possible results? What is the probability of each result? (b) If Sz for electron 2 is measured, what are the possible results? What is the probability of each result? (c) If measurement of Sz for electron 1 yields the value 1 2 U, what are the possible results of a subsequent measurement of Sz for electron 2? What is the probability of each result being obtained? Explain.

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