24. Consider a system made up of two spin particles. Observer A specializes in measuring the spin components of one of the particles (S, S, and so on), while observer B measures the spin components of the other particle. Suppose the system is known to be in a spin-singlet state, that is, Stotal = 0. a. What is the probability for observer A to obtain s1 h/2 when observer B makes no measurement? Same problem for s1, = h/2. b. Observer B determines the spin of particle 2 to be in the s2, = h/2 state with certainty. What can we then conclude about the outcome of observer A's measurement if (i) A measures S1; and (ii) A measures s,? Justify your answer.
24. Consider a system made up of two spin particles. Observer A specializes in measuring the spin components of one of the particles (S, S, and so on), while observer B measures the spin components of the other particle. Suppose the system is known to be in a spin-singlet state, that is, Stotal = 0. a. What is the probability for observer A to obtain s1 h/2 when observer B makes no measurement? Same problem for s1, = h/2. b. Observer B determines the spin of particle 2 to be in the s2, = h/2 state with certainty. What can we then conclude about the outcome of observer A's measurement if (i) A measures S1; and (ii) A measures s,? Justify your answer.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:24. Consider a system made up of two spin particles. Observer A
specializes in measuring the spin components of one of the particles
(S, Sı, and so on), while observer B measures the spin components of
the other particle. Suppose the system is known to be in a spin-singlet
state, that is, Stotal = 0.
a. What is the probability for observer A to obtain s1 h/2 when
observer B makes no measurement? Same problem for s1, = h/2.
b. Observer B determines the spin of particle 2 to be in the s2, = h/2
state with certainty. What can we then conclude about the outcome
of observer A's measurement if (i) A measures S1; and (ii) A
measures s,? Justify your answer.
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