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Five physics students have a discussion about quantum mechanics, and each one makes a statement. Only one of them is correct (naturally, she is from UC Davis). Determine which of the following statements are correct or incorrect, and explain why or why not. (a). “There is zero probability for finding a particle in regions where the wavefunction becomes negative, because that would be unphysical.” (b). “If a spin-0 particle decays into two spin-1/2 particles, and Alice measures Sz = +(h-bar)/2 for one of the two particles, then Bob must find that the second particle has Sz = +(h-bar)/2 as well.” (c). “The Hilbert space of a composite particle comprised of a spin-3/2 particle and a spin-7/2 particle is spanned by a total of 32 states.” (d). “ The composite particle formed from this spin-3/2 and spin-7/2 particles has spin 5”. (e). “The expectation value of the momentum of a state |> must vanish in position space because p_x and x do not commute.”

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