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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| Дата: | 2017 |
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| Автори: | , , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2017
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148558 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
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irk-123456789-1485582019-02-19T01:24:22Z The Moments of the Hydrogen Atom by the Method of Brackets Gonzalez, I. Kohl, K.T. Kondrashuk, I. Moll, V.H. Salinas, D. 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. 2017 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/148558 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Gonzalez, I. Kohl, K.T. Kondrashuk, I. Moll, V.H. Salinas, D. |
| spellingShingle |
Gonzalez, I. Kohl, K.T. Kondrashuk, I. Moll, V.H. Salinas, D. The Moments of the Hydrogen Atom by the Method of Brackets Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Gonzalez, I. Kohl, K.T. Kondrashuk, I. Moll, V.H. Salinas, D. |
| author_sort |
Gonzalez, I. |
| title |
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_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_sort |
moments of the hydrogen atom by the method of brackets |
| publisher |
Інститут математики НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148558 |
| 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. |
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Symmetry, Integrability and Geometry: Methods and Applications |
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