Function

NumCosmoMathCH_bind

Declaration [src]

gdouble
ncm_c_H_bind (
  const gdouble n,
  const gdouble j
)

Description [src]

Energy difference from unbounded state to state $(n,\,j)$, i.e., minus the binding energy of the state $(n,\,j)$, calculated from \begin{equation} E^\mathrm{H}{n,j} = m\mathrm{e}c^2\left[1 - f(n,j)\right], \end{equation} where \begin{align} f(n, j) &= \left[1+\left(\frac{\alpha}{n - \delta(j)}\right)^2\right]^{-\frac{1}{2}}, \ \delta(j) &= j+\frac{1}{2} + \sqrt{\left(j+1/2\right)^2 - \alpha^2}. \end{align}.

Parameters

n

Type: const gdouble

Principal quantum number.

j

Type: const gdouble

Total angular momentum.

Return value

Type: gdouble

Hydrogen binding energy $E^\mathrm{H}_{n,j}$.