Question

If an electron of angular L and spin S Quantum numbers placed in external magnetic field B. If electron is in initial condition n2 write its hamiltonian and analyze its zeeman spectrum?

Answer 1

The Hamiltonian:

$$H=\frac{1}{2}m\Big(\vec{p}-q\vec{A}(\vec{r},t)\Big)^2+qV(\vec{r},t).$$

If the electron is in magnetic field, its spectrum will split.