= Termination of the Coulomb radial series
{title2=$E_n=-\frac{mK^2}{2\hbar^2n^2}$}
For a negative Coulomb energy, remove the <exponential decay> and regular radial power to obtain a confluent-hypergeometric <series>. Its recurrence terminates only when $n=q+\ell+1$, with $q$ a <nonnegative integer>. Regularity at the origin and normalizability at infinity then give the hydrogenic <energy levels>. Without those physical <boundary conditions> the radial <differential equation> has other solutions.
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