(MATRL204L4) Review of Spin (supplemented with Griffiths QM)#
Books used for this section:
Intro to Quantum Mechanics by Griffiths 3rd Ed.
Recall that from our last lecture, we have derived the vector potential used for the magnetic field, a coordinate free expression of the magnetic field. The vivid physical reality of electrons in a Magnetic Field can be explained on a few different levels.
Electron in a Magnetic Field
magnetic dipole moment \(\vec{m}\) or some books might use \(\vec{\mu}\)
Separate components to the spin,
Electron Spin Dipole moment
Electron Orbital Dipole moment
Zeeman Effect, which uses perturbation to account for the dipole moment under a uniform external magnetic field \(\vec{B}\).
Hamiltonian of the Spin#
Save it for later. Don’t have time to focus on this
Clebsch Gordan Coefficients for wavefunctions#
Save it for later. Don’t have time to document this yet.