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[QUE/QM-20004]

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 The spin wave function of a spin half particle at time $t=0$ is $$    \left(  \begin{array}{r} \displaystyle \frac{1}{\sqrt{2}} \\[4mm] \displaystyle {1\over \sqrt{2}}\end{array} \right)$$ and the Hamiltonian is represented by $ H =\gamma S_z$. Find

  1. the wave function at time $T$,
  2. the average value of $S_x$ after time $\pi/3\gamma$

 

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