The shell model of electron structure of negative hydrogen ion

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dc.citation.epage151
dc.citation.issue1
dc.citation.spage144
dc.contributor.affiliationЛьвівський національний університет імені Івана Франка
dc.contributor.affiliationIvan Franko National University of Lviv
dc.contributor.authorВаврух, М.
dc.contributor.authorДзіковський, Д.
dc.contributor.authorСтельмах, О.
dc.contributor.authorVavrukh, M.
dc.contributor.authorDzikovskyi, D.
dc.contributor.authorStelmakh, O.
dc.coverage.placenameЛьвів
dc.coverage.placenameLviv
dc.date.accessioned2020-02-27T09:45:19Z
dc.date.available2020-02-27T09:45:19Z
dc.date.created2019-02-26
dc.date.issued2019-02-26
dc.description.abstractУ 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.abstractIn 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.extent144-151
dc.format.pages8
dc.identifier.citationVavrukh 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.citationenVavrukh 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.urihttps://ena.lpnu.ua/handle/ntb/46150
dc.language.isoen
dc.publisherLviv Politechnic Publishing House
dc.relation.ispartofMathematical Modeling and Computing, 1 (6), 2019
dc.relation.references1. WildtR. The Continuous Spectrum of Stellar Atmospheres Consisting Only of Atoms and Negative Ions of Hydrogen. Astrophys. Journ. 93, 47–51 (1941).
dc.relation.references2. Chandrasekhar S., Breen F.H. On the Continuous Absorption Coefficient of the Negative Hydrogen Ion. III. Astrophys. Journ. 104, 430–445 (1946).
dc.relation.references3. Geltman S. The Bound-Free Absorption Coefficient of the Hydrogen Negative Ion. Astrophys. Journ. 136, 935–945 (1962).
dc.relation.references4. WishartA.W. The Bound-Free Photodetachment Cross Section of H−. J. Phys. B: Atom. Molec. Phys. 12 (21), 3511–3519, (1979).
dc.relation.references5. 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.references6. Hylleraas E.A. Die Elektronenaffinit¨at des Wasserstoffatoms nach der Wellenmechanik. Zeitschrift f¨ur Physik. 60, 624–630 (1930).
dc.relation.references7. PekerisC. L. 11S, 21S and 23S States of H− and of He. Phys. Rev. 126, 1470–1476 (1962).
dc.relation.references8. MasseyH. S.W. Negative Ions. Cambridge University Press (1976).
dc.relation.references9. SchullH., L¨owdinP.-O. Correlation Splitting in Helium-Like Ions. J. Chem. Phys. 25, 1035–1040 (1956).
dc.relation.references10. KinoshitaT. Ground State of the Helium Atom. Phys. Rev. 105, 1490–1502 (1957).
dc.relation.references11. 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.references12. TweedR. J. Correlated wavefunctions for helium-like atomic systems. J. Phys. B: Atom. Molec. Phys. 5, 810–819 (1972).
dc.relation.referencesen1. WildtR. The Continuous Spectrum of Stellar Atmospheres Consisting Only of Atoms and Negative Ions of Hydrogen. Astrophys. Journ. 93, 47–51 (1941).
dc.relation.referencesen2. Chandrasekhar S., Breen F.H. On the Continuous Absorption Coefficient of the Negative Hydrogen Ion. III. Astrophys. Journ. 104, 430–445 (1946).
dc.relation.referencesen3. Geltman S. The Bound-Free Absorption Coefficient of the Hydrogen Negative Ion. Astrophys. Journ. 136, 935–945 (1962).
dc.relation.referencesen4. WishartA.W. The Bound-Free Photodetachment Cross Section of H−. J. Phys. B: Atom. Molec. Phys. 12 (21), 3511–3519, (1979).
dc.relation.referencesen5. 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.referencesen6. Hylleraas E.A. Die Elektronenaffinit¨at des Wasserstoffatoms nach der Wellenmechanik. Zeitschrift f¨ur Physik. 60, 624–630 (1930).
dc.relation.referencesen7. PekerisC. L. 11S, 21S and 23S States of H− and of He. Phys. Rev. 126, 1470–1476 (1962).
dc.relation.referencesen8. MasseyH. S.W. Negative Ions. Cambridge University Press (1976).
dc.relation.referencesen9. SchullH., L¨owdinP.-O. Correlation Splitting in Helium-Like Ions. J. Chem. Phys. 25, 1035–1040 (1956).
dc.relation.referencesen10. KinoshitaT. Ground State of the Helium Atom. Phys. Rev. 105, 1490–1502 (1957).
dc.relation.referencesen11. 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.referencesen12. TweedR. J. Correlated wavefunctions for helium-like atomic systems. J. Phys. B: Atom. Molec. Phys. 5, 810–819 (1972).
dc.rights.holderCMM IAPMM NAS
dc.rights.holder© 2019 Lviv Polytechnic National University
dc.subjectнегативний іон водню
dc.subjectбазисний підхід
dc.subjectваріаційний підхід
dc.subjectенергія іонізації
dc.subjectnegative hydrogen ion
dc.subjectreference system approach
dc.subjectvariation method
dc.subjectenergy of ionization
dc.subject.udc523.9
dc.subject.udc523.9-7
dc.subject.udc523.9-47
dc.titleThe shell model of electron structure of negative hydrogen ion
dc.title.alternativeОболонкова модель електронної структури негативного іона водню
dc.typeArticle

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Mathematical Modeling And Computing. – 2019. – Vol. 6, No. 1