The Moments of the Hydrogen Atom by the Method of Brackets

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dc.contributor.authorGonzalez, I.
dc.contributor.authorKohl, K.T.
dc.contributor.authorKondrashuk, I.
dc.contributor.authorMoll, V.H.
dc.contributor.authorSalinas, D.
dc.date.accessioned2019-02-18T15:40:35Z
dc.date.available2019-02-18T15:40:35Z
dc.date.issued2017
dc.description.abstractExpectation values of powers of the radial coordinate in arbitrary hydrogen states are given, in the quantum case, by an integral involving the associated Laguerre function. The method of brackets is used to evaluate the integral in closed-form and to produce an expression for this average value as a finite sum.uk_UA
dc.description.sponsorshipThe work of I.K. was supported in part by Fondecyt (Chile) Grants Nos. 1040368, 1050512 and 1121030, by DIUBB (Chile) Grant Nos. 102609, GI 153209/C and GI 152606/VC. V.H.M. acknowledges the partial support of NSF-DMS 1112656.uk_UA
dc.identifier.citationThe Moments of the Hydrogen Atom by the Method of Brackets / I. Gonzalez, K.T. Kohl, I. Kondrashuk, V.H. Moll, D. Salinas // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 29 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 33C45; 33C20; 81V45
dc.identifier.otherDOI:10.3842/SIGMA.2017.001
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/148558
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleThe Moments of the Hydrogen Atom by the Method of Bracketsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13, випуск за цей рік