DC Field | Value | Language |
dc.contributor.author | Ваврух, М. | |
dc.contributor.author | Дзіковський, Д. | |
dc.contributor.author | Стельмах, О. | |
dc.contributor.author | Vavrukh, M. | |
dc.contributor.author | Dzikovskyi, D. | |
dc.contributor.author | Stelmakh, O. | |
dc.date.accessioned | 2020-02-27T09:45:19Z | - |
dc.date.available | 2020-02-27T09:45:19Z | - |
dc.date.created | 2019-02-26 | |
dc.date.issued | 2019-02-26 | |
dc.identifier.citation | Vavrukh M. The shell model of electron structure of negative hydrogen ion / M. Vavrukh, D. Dzikovskyi, O. Stelmakh // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2019. — Vol 6. — No 1. — P. 144–151. | |
dc.identifier.uri | https://ena.lpnu.ua/handle/ntb/46150 | - |
dc.description.abstract | У межах нерелятивістського наближення одержано компактний наближений
розв’язок рівняння Шредингера для іона H− у вигляді розкладу за поліномами Лежандра
і варіаційними функціями типу Шулля–Льовдіна. Точність розрахунку енергії іона
відповідає результатам, одержаним за допомогою багатопараметричних функцій Гіллєраса і Пекеріса. | |
dc.description.abstract | In the frame of non-relativistic approximation, a compact approximate solution of the
Schr¨odinger equation for the ion of H− has been obtained in the form of product for
Legendre polynomials and variational functions of the Schull–L¨owdin type. The accuracy
of calculation of ion energy is of the same order that the results obtained using the
multiparametric functions of Hylleraas and Pekeris. | |
dc.format.extent | 144-151 | |
dc.language.iso | en | |
dc.publisher | Lviv Politechnic Publishing House | |
dc.relation.ispartof | Mathematical Modeling and Computing, 1 (6), 2019 | |
dc.subject | негативний іон водню | |
dc.subject | базисний підхід | |
dc.subject | варіаційний підхід | |
dc.subject | енергія іонізації | |
dc.subject | negative hydrogen ion | |
dc.subject | reference system approach | |
dc.subject | variation method | |
dc.subject | energy of ionization | |
dc.title | The shell model of electron structure of negative hydrogen ion | |
dc.title.alternative | Оболонкова модель електронної структури негативного іона водню | |
dc.type | Article | |
dc.rights.holder | CMM IAPMM NAS | |
dc.rights.holder | © 2019 Lviv Polytechnic National University | |
dc.contributor.affiliation | Львівський національний університет імені Івана Франка | |
dc.contributor.affiliation | Ivan Franko National University of Lviv | |
dc.format.pages | 8 | |
dc.identifier.citationen | Vavrukh M. The shell model of electron structure of negative hydrogen ion / M. Vavrukh, D. Dzikovskyi, O. Stelmakh // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2019. — Vol 6. — No 1. — P. 144–151. | |
dc.relation.references | 1. WildtR. The Continuous Spectrum of Stellar Atmospheres Consisting Only of Atoms and Negative Ions of Hydrogen. Astrophys. Journ. 93, 47–51 (1941). | |
dc.relation.references | 2. Chandrasekhar S., Breen F.H. On the Continuous Absorption Coefficient of the Negative Hydrogen Ion. III. Astrophys. Journ. 104, 430–445 (1946). | |
dc.relation.references | 3. Geltman S. The Bound-Free Absorption Coefficient of the Hydrogen Negative Ion. Astrophys. Journ. 136, 935–945 (1962). | |
dc.relation.references | 4. WishartA.W. The Bound-Free Photodetachment Cross Section of H−. J. Phys. B: Atom. Molec. Phys. 12 (21), 3511–3519, (1979). | |
dc.relation.references | 5. VavrukhМ.V., Vasil’eva I.Е., StelmakhО.М., TyshkoN. L. Continuous Absorption and Depression in the Solar Spectrum at Wavelengths from 650 to 820 nm. Kinematics and Physics of Celestial Bodies. 32 (3), 129–144 (2016). | |
dc.relation.references | 6. Hylleraas E.A. Die Elektronenaffinit¨at des Wasserstoffatoms nach der Wellenmechanik. Zeitschrift f¨ur Physik. 60, 624–630 (1930). | |
dc.relation.references | 7. PekerisC. L. 11S, 21S and 23S States of H− and of He. Phys. Rev. 126, 1470–1476 (1962). | |
dc.relation.references | 8. MasseyH. S.W. Negative Ions. Cambridge University Press (1976). | |
dc.relation.references | 9. SchullH., L¨owdinP.-O. Correlation Splitting in Helium-Like Ions. J. Chem. Phys. 25, 1035–1040 (1956). | |
dc.relation.references | 10. KinoshitaT. Ground State of the Helium Atom. Phys. Rev. 105, 1490–1502 (1957). | |
dc.relation.references | 11. Hart J. F., HerzbergG. Twenty-Parameter Eigenfunctions and Energy Values of the Ground States of He and He-Like Ions. Phys. Rev. 106, 79–82 (1957). | |
dc.relation.references | 12. TweedR. J. Correlated wavefunctions for helium-like atomic systems. J. Phys. B: Atom. Molec. Phys. 5, 810–819 (1972). | |
dc.relation.referencesen | 1. WildtR. The Continuous Spectrum of Stellar Atmospheres Consisting Only of Atoms and Negative Ions of Hydrogen. Astrophys. Journ. 93, 47–51 (1941). | |
dc.relation.referencesen | 2. Chandrasekhar S., Breen F.H. On the Continuous Absorption Coefficient of the Negative Hydrogen Ion. III. Astrophys. Journ. 104, 430–445 (1946). | |
dc.relation.referencesen | 3. Geltman S. The Bound-Free Absorption Coefficient of the Hydrogen Negative Ion. Astrophys. Journ. 136, 935–945 (1962). | |
dc.relation.referencesen | 4. WishartA.W. The Bound-Free Photodetachment Cross Section of H−. J. Phys. B: Atom. Molec. Phys. 12 (21), 3511–3519, (1979). | |
dc.relation.referencesen | 5. VavrukhM.V., Vasil’eva I.E., StelmakhO.M., TyshkoN. L. Continuous Absorption and Depression in the Solar Spectrum at Wavelengths from 650 to 820 nm. Kinematics and Physics of Celestial Bodies. 32 (3), 129–144 (2016). | |
dc.relation.referencesen | 6. Hylleraas E.A. Die Elektronenaffinit¨at des Wasserstoffatoms nach der Wellenmechanik. Zeitschrift f¨ur Physik. 60, 624–630 (1930). | |
dc.relation.referencesen | 7. PekerisC. L. 11S, 21S and 23S States of H− and of He. Phys. Rev. 126, 1470–1476 (1962). | |
dc.relation.referencesen | 8. MasseyH. S.W. Negative Ions. Cambridge University Press (1976). | |
dc.relation.referencesen | 9. SchullH., L¨owdinP.-O. Correlation Splitting in Helium-Like Ions. J. Chem. Phys. 25, 1035–1040 (1956). | |
dc.relation.referencesen | 10. KinoshitaT. Ground State of the Helium Atom. Phys. Rev. 105, 1490–1502 (1957). | |
dc.relation.referencesen | 11. Hart J. F., HerzbergG. Twenty-Parameter Eigenfunctions and Energy Values of the Ground States of He and He-Like Ions. Phys. Rev. 106, 79–82 (1957). | |
dc.relation.referencesen | 12. TweedR. J. Correlated wavefunctions for helium-like atomic systems. J. Phys. B: Atom. Molec. Phys. 5, 810–819 (1972). | |
dc.citation.issue | 1 | |
dc.citation.spage | 144 | |
dc.citation.epage | 151 | |
dc.coverage.placename | Львів | |
dc.coverage.placename | Lviv | |
dc.subject.udc | 523.9 | |
dc.subject.udc | 523.9-7 | |
dc.subject.udc | 523.9-47 | |
Appears in Collections: | Mathematical Modeling And Computing. – 2019. – Vol. 6, No. 1
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