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The fine structure of Weber's hydrogen atom -- Bohr-Sommerfeld approach

Quantum Physics 2020-05-25 v1 Mathematical Physics math.MP Symplectic Geometry

Abstract

In this paper we determine in second order in the fine structure constant the energy levels of Weber's Hamiltonian admitting a quantized torus. Our formula coincides with the formula obtained by Wesley using the Schr\"odinger equation for Weber's Hamiltonian.

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Cite

@article{arxiv.1902.09612,
  title  = {The fine structure of Weber's hydrogen atom -- Bohr-Sommerfeld approach},
  author = {Urs Frauenfelder and Joa Weber},
  journal= {arXiv preprint arXiv:1902.09612},
  year   = {2020}
}

Comments

15 pages, 1 figure