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quant-ph2025
Classification of Transuranium Elements in Terms of `Winding' Numbers in the Bohr-Sommerfeld Model
Sergei K. Suslov
We revisit the Bohr-Sommerfeld atomic model to explore hydrogen-like ions of Uranium (), Oganesson (), and hypothetical superheavy elements beyond. Although superseded…
quant-ph2025
Oganesson versus Uranium Hydrogen-like Ions and Beyond (from the Viewpoint of Old Quantum Mechanics)
Kamal Barley, Andreas Ruffing, Sergei K. Suslov
We compare, within the framework of the old Bohr-Sommerfeld atomic model, Uranium (Z=92) versus hypothetical Oganesson (Z=118) relativistic hydrogen-like ions and beyond. Existence…
quant-ph2025
Old Quantum Mechanics by Bohr and Sommerfeld from a Modern Perspective
Kamal K. Barley, Andreas Ruffing, Sergei K. Suslov
We review Bohr's atomic model and its extension by Sommerfeld from a mathematical perspective of wave mechanics. The derivation of quantization rules and energy levels is revisited…