For a spin half particle in a uniform magnetic field \(\vec{B}\) the Hamiltonian is given by \[H=-\vec{\mu}\cdot\vec{B}\] where the magnetic moment is \(\vec{\mu} = \gamma \frac{e\hbar}{2mc}\vec{\sigma}\) and \(\vec{\sigma}\) are Pauli spin matrices, \(\gamma\) is a constant.
- Find the magnetic moment operator in the Heisenberg picture.
- Derive equation of motion for the spin \(\vec{S}\) and show that the spin precesses about the magnetic field.
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4727:Diamond Point
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