Consider two (distinguishable) particles where each has a spin with s= 1/2. Following the usual notation of the course,

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Consider Two Distinguishable Particles Where Each Has A Spin With S 1 2 Following The Usual Notation Of The Course 1 (45.19 KiB) Viewed 14 times

Consider two (distinguishable) particles where each has a spin with s= 1/2. Following the usual notation of the course, we can represent the state of each of these particles in the basis {1+) = |s = 1/2, m = +1/2),|-) = |s = 1/2,m = -1/2)}. a) What is a basis for the state space of the system composed of both particles? b) If S1z is the Z component of the angular momentum operator of particle 1. Write the matrix representation of S1z on the basis of the previous section. What form would it take this operator if we only consider the basis for the state space of a single particle? c) Write a state of the composite system that cannot be written (factorized) as tensor product of states of the individual systems.