Question

Spin precession in a magnetic field Elementary particles such as electrons have a spin quantum number s coupled with a charge, resulting in a magnetic dipole moment of $\vec{\mu}$. In the study of the magnetic properties of materials, an external magnetic field $\vec{B}$ is applied, and the response of the electrons in the material is observed. In this experiment: $\hat{H} = -\vec{\mu} \cdot \vec{B} = -\mu_z \cdot B$ $\mu = \frac{e}{m_e}\vec{S}$ Write $\vec{S}$ in the Pauli matrix ($\sigma_x, \sigma_y, \sigma_z$), the matrix form of the Hamiltonian, and the available eigenstates for $S_z$!

          Spin precession in a magnetic field
Elementary particles such as electrons have a spin quantum number s coupled with a charge,
resulting in a magnetic dipole moment of $\vec{\mu}$. In the study of the magnetic properties of
materials, an external magnetic field $\vec{B}$ is applied, and the response of the electrons in the
material is observed. In this experiment:
$\hat{H} = -\vec{\mu} \cdot \vec{B} = -\mu_z \cdot B$
$\mu = \frac{e}{m_e}\vec{S}$
Write $\vec{S}$ in the Pauli matrix ($\sigma_x, \sigma_y, \sigma_z$), the matrix form of the Hamiltonian, and the available
eigenstates for $S_z$!

Spin precession in a magnetic field
Elementary particles such as electrons have a spin quantum number s coupled with a charge,
resulting in a magnetic dipole moment of μ⃗. In the study of the magnetic properties of
materials, an external magnetic field B⃗ is applied, and the response of the electrons in the
material is observed. In this experiment:
Ĥ = -μ⃗·B⃗ = -· B
μ = (e)/(me)S⃗
Write S⃗ in the Pauli matrix (, ,), the matrix form of the Hamiltonian, and the available
eigenstates for Sz!

Added by Deborah W.

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