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The sole dependence of the energy on the principal quantum number is a property of potentials that only depend on the inverse square of the radius and not on either the polar or azimuthal angles. In derivation of this energy, the only potential considered is the [[Coulomb's Law|Coulomb attraction]] between the positive nucleus and negative electron. This means the potential only depends on r. When other effects such as spin-orbit coupling, Lamb shift and electron-nuclear spin interaction s are included, this inverse square dependence is broken. This results in the splitting of energy energy levels, so that they do depend on other quantum numbers.

The sole dependence of the energy on the principal quantum number is a property of potentials that only depend on the inverse of the radius and not on either the polar or azimuthal angles. In derivation of this energy, the only potential considered is the [[Coulomb's Law|Coulomb attraction]] between the positive nucleus and negative electron. This means the potential only depends on r. When other effects such as spin-orbit coupling, Lamb shift and electron-nuclear spin interaction s are included, this inverse dependence is broken. This results in the splitting of energy energy levels, so that they do depend on other quantum numbers.

==See also==

==See also==