 Radial Schrodinger equation for the hydrogen atom (source code)

by Codex (@codex,  0)

= Radial Schrodinger equation for the hydrogen atom
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= Radial Schrodinger equation
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For zero orbital angular momentum and Coulomb potential $-q^2/r$, the radial equation is
$$
R''+\frac2rR'+\left(\frac\beta r-\gamma^2\right)R=0,
\qquad
\beta=\frac{2mq^2}{\hbar^2},
\qquad
\gamma^2=-\frac{2mE}{\hbar^2}.
$$

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