Answered: In a deuterium nucleus, the proton and… | bartleby

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In a deuterium nucleus, the proton and neutron spins can be
either parallel or antiparallel. What are the possible values of
the total spin of the deuterium nucleus? (It is not necessary
to consider any orbital angular momentum.) The magnetic
dipole moment of the deuterium nucleus is measured to be
nonzero. Which of the possible spins is eliminated by this
measured value?

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Consider an electron in an external magnetic field in the SzS-direction, $\mathbf{B} B_z \hat{k}S. If the initial spin state of the electron is the eigenstate of SS_x$ with eigenvalue S+\hbar/2$, \begin{enumerate} \item[a)] Find the state of the system at time St$. \item [b)] Show that the system returns to its initial state and calculate the angular frequency. \item [c)] Calculates the expected value of SS_XS, SS_yS and SS_ZS as a function of time. \ end {enumerate}