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Radial Schrodinger equation for the hydrogen atom

For zero orbital angular momentum and Coulomb potential

- q^{2} / r

, the radial equation is

R^{''} + \frac{2}{r} R^{'} + (\frac{β}{r} - γ^{2}) R = 0, β = \frac{2 m q ^{2}}{ℏ ^{2}}, γ^{2} = - \frac{2 m E}{ℏ ^{2}} .

Table of contents 50 2
- Series-termination quantization of the Coulomb radial equation Radial Schrodinger equation for the hydrogen atom 30 1
  - Hydrogen ground-state energy Series-termination quantization of the Coulomb radial equation 7

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Radial Schrodinger equation