Sommerfeld Model -- from Eric Weisstein's World of Physics

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Sommerfeld Model

An extension of the Bohr model of the hydrogen atom to include a second quantization condition on elliptical orbits in addition to special relativity. This model removes the degeneracy of electrons present in the Bohr model by using the two quantum numbers and , introduced via the quantum conditions

(1)
(2)

where L is the angular momentum, is the linear momentum, and h is Planck's constant.

Bohr Model, Hydrogen Atom, Plum Pudding Model, Rutherford's Model, Sommerfeld-Wilson Quantization Condition




References

Eisberg, R. and Resnick, R. "Sommerfeld's Model." §4-10 in Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles, 2nd ed. New York: Wiley, pp. 114-117, 1985.



© 1996-2007 Eric W. Weisstein

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