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Wilson-Sommerfeld Quantization Condition

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Exercises in Quantum Mechanics

Part of the book series: Reidel Texts in the Mathematical Sciences ((RTMS,volume 2))

Abstract

The hydrogen atom, when treated using Bohr’s admixture of classical and quantum concepts involves an electron circulating about a proton (subject to the attractive Coulomb force - (e2/4πε0r2)r̂) in orbits which satisfy the condition:

$$ 2\Pi r = n\lambda _{De\;Broglie'} \quad n = 1,2, \ldots . $$

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References

  1. H. Goldstein, Classical Mechanics, Addison Wesley (1950), p. 300.

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  2. E. Merzbacher, Quantum Mechanics, Wiley (1970), p. 123.

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© 1987 Springer Science+Business Media Dordrecht

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Mavromatis, H.A. (1987). Wilson-Sommerfeld Quantization Condition. In: Exercises in Quantum Mechanics. Reidel Texts in the Mathematical Sciences, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7771-7_1

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  • DOI: https://doi.org/10.1007/978-94-015-7771-7_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-015-7773-1

  • Online ISBN: 978-94-015-7771-7

  • eBook Packages: Springer Book Archive

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