Although the treatment of the hydrogen atom, or a hydrogenic atom with one electron or the Kepler problem or the central-field problem as alternative descriptions, with Schroedinger's equation temporally dependent or independent in spherical polar coordinates is much discussed elsewhere, a principal objective here is to emphasize the particular quantitative aspects of this system of coordinates for comparison with the results in other systems in succeeding parts of this series.
For only a hydrogenic atom, as defined above, is the energy synonymous with an energy quantum number.
A hydrogenic atom
is one which is ionized such that it has only one orbiting electron.
For the hydrogenic atom its radial wave function 1/r [g.
1]> of the hydrogenic atom are equivalent to <[N.
The supersymmetric Dirac equation; the application to hydrogenic atoms
In between he offers chapters on matrix groups, Lie algebras, matrix algebras, operator algebras, EXPonentiation, structure theory for Lie algebras, root spaces and Dynkin diagrams, real forms, Riemannian symmetric spaces, contraction, hydrogenic atoms
, and Maxwell's equations.