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[QUE/QM-09008]

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  1. Write the Hamiltonian for a particle in magnetic field \(\vec{B}(x)\).
  2. Compute the velocity operator \(\vec{v}= \frac{d \vec{r}}{d t}\) in the Heisenberg picture.
  3. Show that compute the commutator    \( [v_x, v_y]\) and show that   \[ [v_x, v_y]  = \frac{ie\hbar}{m^c} B_z.\]

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4727:Diamond Point

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