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

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 Schrödinger equation for Weber's Hamiltonian.

15 pages, 1 figure

References in corpus (2)

• A compactness result for non-local unregularized gradient flow lines
• State dependent Hamiltonian delay equations and Neumann one-forms

Cited by in corpus (2)

• Hamiltonian delay equations -- examples and a lower bound for the number of periodic solutions
• State dependent Hamiltonian delay equations and Neumann one-forms