Symmetry and Degeneracy

Harold V. Mcintosh

Throughout this article we shall be describing wave equations, both Schrödinger's and Dirac's for a wide variety of potentials. The notation for the parameters appearing in these equations, their eigenvalues and eigenfunctions is now well standardized and nearly universal, and we shall frequently refer to them by name, without further ceremony; for example, the magnetic quantum number $m$. Furthermore, we shall take $\hbar = c = 1$, as well as taking 1 for a particle's mass, except that we will retain an explicit $m$ in relativistic formulas.

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