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Symmetry, Integrability and Geometry: Methods and Applications, 2017, Volume 13, 001, 13 pp.
DOI: https://doi.org/10.3842/SIGMA.2017.001 (Mi sigma1201) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The Moments of the Hydrogen Atom by the Method of Brackets

Ivan Gonzaleza, Karen T. Kohlb, Igor Kondrashukc, Victor H. Molld, Daniel Salinase

a Instituto de Física y Astronomia, Universidad de Valparaiso, Avda. Gran Bretaña 1111, Valparaiso, Chile
b Department of Mathematics, University of Southern Mississippi, Long Beach, MS 39560, USA
c Grupo de Matemática Aplicada & Grupo de Física de Altas Energías, Departmento de Ciencias Básicas, Universidad del Bío-Bío, Campus Fernando May, Av. Andres Bello 720, Casilla 447, Chillán, Chile
d Department of Mathematics, Tulane University, New Orleans, LA 70118, USA
e Departamento de Fisica, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaiso, Chile
Full-text PDF (356 kB) Citations (3)
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DOI: https://doi.org/10.3842/SIGMA.2017.001
Abstract: Expectation 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.
Keywords: non-relativistic hydrogen atom; method of brackets; hypergeometric function; associated Laguerre functions.
Funding agency Grant number
Fondo Nacional de Desarrollo Científico y Tecnológico 1040368
1050512
1121030
DIUBB 102609
DIUBB GI 153209/C
DIUBB GI 152606/VC
National Science Foundation DMS 1112656
The 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.
Received: November 23, 2016; in final form December 30, 2016; Published online January 5, 2017
Bibliographic databases:
Document Type: Article
MSC: 33C45; 33C20; 81V45
Language: English
Citation: Ivan Gonzalez, Karen T. Kohl, Igor Kondrashuk, Victor H. Moll, Daniel Salinas, “The Moments of the Hydrogen Atom by the Method of Brackets”, SIGMA, 13 (2017), 001, 13 pp.
Citation in format AMSBIB
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\by Ivan~Gonzalez, Karen~T.~Kohl, Igor~Kondrashuk, Victor~H.~Moll, Daniel~Salinas
\paper The Moments of the Hydrogen Atom by the Method of Brackets
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\yr 2017
\vol 13
\papernumber 001
\totalpages 13
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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