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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 изданияхстатьяРецензирование

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Alizzi AE, Sagaydak AE, Silagadze ZK. Elementary atoms in spaces of constant curvature by the Nikiforov–Uvarov method. Annals of Physics. 2025 авг.;479:170066. doi: 10.1016/j.aop.2025.170066

Author

Alizzi, Abdaljalel E. ; Sagaydak, Alina E. ; Silagadze, Zurab K. / Elementary atoms in spaces of constant curvature by the Nikiforov–Uvarov method. в: Annals of Physics. 2025 ; Том 479.

BibTeX

@article{538c53cc05664b1d893383b007adb293,
title = "Elementary atoms in spaces of constant curvature by the Nikiforov–Uvarov method",
abstract = "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.",
keywords = "Bound states, Constant curvature spaces, Elementary atoms, Nikiforov–Uvarov method",
author = "Alizzi, {Abdaljalel E.} and Sagaydak, {Alina E.} and Silagadze, {Zurab K.}",
year = "2025",
month = aug,
doi = "10.1016/j.aop.2025.170066",
language = "English",
volume = "479",
journal = "Annals of Physics",
issn = "0003-4916",
publisher = "Elsevier Science Publishing Company, Inc.",

}

RIS

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