3 papers
physics.class-ph2025
Asymptotic potential of a rose-shaped disk
Alina E. Sagaydak, Zurab K. Silagadze
Based on extensive numerical evidence, a recent paper (Sheng Chen et al., Eur. J. Phys. {\bf 45} (2024), 045703) suggested that the potential of a uniformly charged rose-shaped dis…
quant-ph2025
Elementary atoms in spaces of constant curvature by the Nikiforov-Uvarov method
Abdaljalel E. Alizzi, Alina E. Sagaydak, Zurab K. Silagadze
The Nikiforov-Uvarov method is a simple, yet elegant and powerful method for solving second-order differential equations of generalized hypergeometric type. In the past, it has bee…
physics.class-ph2024
Electrostatic potential of a uniformly charged disk through Green's theorem
Alina E. Sagaydak, Zurab K. Silagadze
All existing derivations of the electrostatic potential of a uniformly charged disk are technically rather involved. In an old and now almost forgotten publication, Duffin and McWh…