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      The "Sommerfeld Puzzle" and Its Extensions

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          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.

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          Journal
          15 January 2024
          Article
          2401.07485
          35e42d95-1d67-4910-a030-73983200fb52

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          18 pages, 34 references. arXiv admin note: text overlap with arXiv:2012.12467
          quant-ph

          Quantum physics & Field theory
          Quantum physics & Field theory

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