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Elementary atoms in spaces of constant curvature by the Nikiforov–Uvarov method. / Alizzi, Abdaljalel E.; Sagaydak, Alina E.; Silagadze, Zurab K.
в: Annals of Physics, Том 479, 170066, 08.2025.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Elementary atoms in spaces of constant curvature by the Nikiforov–Uvarov method
AU - Alizzi, Abdaljalel E.
AU - Sagaydak, Alina E.
AU - Silagadze, Zurab K.
PY - 2025/8
Y1 - 2025/8
N2 - 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 been used to solve many problems in quantum mechanics and elsewhere. We apply this method to the classical problem of hydrogen-like atoms in spaces of constant curvature. Both the spectra of these atoms and their wave functions, including normalization, are easily obtained.
AB - 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 been used to solve many problems in quantum mechanics and elsewhere. We apply this method to the classical problem of hydrogen-like atoms in spaces of constant curvature. Both the spectra of these atoms and their wave functions, including normalization, are easily obtained.
KW - Bound states
KW - Constant curvature spaces
KW - Elementary atoms
KW - Nikiforov–Uvarov method
UR - https://www.mendeley.com/catalogue/e9a90438-ccbf-32e8-8c38-df6f1f41a7b3/
UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-105004670766&origin=inward&txGid=270faac4d43199d8e160822ab1b28fa5
U2 - 10.1016/j.aop.2025.170066
DO - 10.1016/j.aop.2025.170066
M3 - Article
VL - 479
JO - Annals of Physics
JF - Annals of Physics
SN - 0003-4916
M1 - 170066
ER -
ID: 66502407