The Moments of the Hydrogen Atom by the Method of Brackets
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...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2017 |
| Main Authors: | , , , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2017
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148558 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862665350030557184 |
|---|---|
| author | Gonzalez, I. Kohl, K.T. Kondrashuk, I. Moll, V.H. Salinas, D. |
| author_facet | Gonzalez, I. Kohl, K.T. Kondrashuk, I. Moll, V.H. Salinas, D. |
| citation_txt | The 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-12-07T15:17:19Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148558 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:17:19Z |
| publishDate | 2017 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Gonzalez, I. Kohl, K.T. Kondrashuk, I. Moll, V.H. Salinas, D. 2019-02-18T15:40:35Z 2019-02-18T15:40:35Z 2017 The 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. 1815-0659 2010 Mathematics Subject Classification: 33C45; 33C20; 81V45 DOI:10.3842/SIGMA.2017.001 https://nasplib.isofts.kiev.ua/handle/123456789/148558 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Moments of the Hydrogen Atom by the Method of Brackets Article published earlier |
| spellingShingle | The Moments of the Hydrogen Atom by the Method of Brackets Gonzalez, I. Kohl, K.T. Kondrashuk, I. Moll, V.H. Salinas, D. |
| title | The Moments of the Hydrogen Atom by the Method of Brackets |
| title_full | The Moments of the Hydrogen Atom by the Method of Brackets |
| title_fullStr | The Moments of the Hydrogen Atom by the Method of Brackets |
| title_full_unstemmed | The Moments of the Hydrogen Atom by the Method of Brackets |
| title_short | The Moments of the Hydrogen Atom by the Method of Brackets |
| title_sort | moments of the hydrogen atom by the method of brackets |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148558 |
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