The "Sommerfeld Puzzle" and Its Extensions
arXiv:2401.07485
Abstract
The exact agreement between the Sommerfeld (1916) and Dirac (1928) results for the energy levels of the relativistic hydrogen atom (the so-called "Sommerfeld puzzle") is analyzed and extended. Werner Heisenberg called this coincidence a `miracle' but Erwin Schroedinger described it as a fortuitous computational accident.
18 pages, 34 references. arXiv admin note: text overlap with arXiv:2012.12467