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Electron in Magnetic Fields and Other Two-State Problems
We have already seen in the earlier chapters many problems for which exact solutions are available. In this chapter, we study some more exactly solvable problems. First, we consider the case of an electron in constant magnetic field. Problems involving electron in constant magnetic field are one of the simplest applications of quantum mechanics. For instance, if we consider orbital angular momentum alone, free electron in a constant magnetic field is exactly solvable, leading to Landau levels. On the other hand, if one concentrates on spin angular momentum alone, the electron in a magnetic field provides a simple model for the study of two-state systems.
Then, we consider gauge invariance ...
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