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

Autor(es)

Frauenfelder, Urs ^[1] ; Weber, Joa ^[2]

Afiliação do(s) autor(es)

^[1] Univ Augsburg, Augsburg - Germany

^[2] Univ Estadual Campinas, Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK; v. 70, n. 4 AUG 2019.
• Citações Web of Science: 0

Resumo

In this paper, we determine in second order in the fine structure constant the energy levels of Weber's Hamiltonian that admit a quantized torus. Our formula coincides with the formula obtained by Wesley using the Schrodinger equation for Weber's Hamiltonian. We follow the historical approach of Sommerfeld. This shows that Sommerfeld could have discussed the fine structure of the hydrogen atom using Weber's electrodynamics if he had been aware of the at-his-time-already-forgotten theory of Wilhelm Weber (1804-1891). (AU)

• Processo FAPESP: 17/19725-6 - Fluxos encurtando curvas e aplicações
• Beneficiário: Joachim Weber
• Modalidade de apoio: Auxílio à Pesquisa - Regular