Ladder Operators for Quantum Systems Confined by Dihedral Angles
We report the identification and construction of raising and lowering operators for the complete eigenfunctions of isotropic harmonic oscillators confined by dihedral angles, in circular cylindrical and spherical coordinates; as well as for the hydrogen atom in the same situation of confinement, in...
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| Дата: | 2012 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2012
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148423 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Ladder Operators for Quantum Systems Confined by Dihedral Angles / E. Ley-Koo, G.-H. Sun // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 24 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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dspace |
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irk-123456789-1484232019-02-19T01:25:22Z Ladder Operators for Quantum Systems Confined by Dihedral Angles Ley-Koo, E. Sun, G.-H. We report the identification and construction of raising and lowering operators for the complete eigenfunctions of isotropic harmonic oscillators confined by dihedral angles, in circular cylindrical and spherical coordinates; as well as for the hydrogen atom in the same situation of confinement, in spherical, parabolic and prolate spheroidal coordinates. The actions of such operators on any eigenfunction are examined in the respective coordinates, illustrating the possibility of generating the complete bases of eigenfunctions in the respective coordinates for both physical systems. The relationships between the eigenfunctions in each pair of coordinates, and with the same eigenenergies are also illustrated. 2012 Article Ladder Operators for Quantum Systems Confined by Dihedral Angles / E. Ley-Koo, G.-H. Sun // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 24 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 20C35; 33C47; 35J15; 35J25; 81Q05; 81R05 DOI: http://dx.doi.org/10.3842/SIGMA.2012.060 http://dspace.nbuv.gov.ua/handle/123456789/148423 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 |
We report the identification and construction of raising and lowering operators for the complete eigenfunctions of isotropic harmonic oscillators confined by dihedral angles, in circular cylindrical and spherical coordinates; as well as for the hydrogen atom in the same situation of confinement, in spherical, parabolic and prolate spheroidal coordinates. The actions of such operators on any eigenfunction are examined in the respective coordinates, illustrating the possibility of generating the complete bases of eigenfunctions in the respective coordinates for both physical systems. The relationships between the eigenfunctions in each pair of coordinates, and with the same eigenenergies are also illustrated. |
| format |
Article |
| author |
Ley-Koo, E. Sun, G.-H. |
| spellingShingle |
Ley-Koo, E. Sun, G.-H. Ladder Operators for Quantum Systems Confined by Dihedral Angles Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Ley-Koo, E. Sun, G.-H. |
| author_sort |
Ley-Koo, E. |
| title |
Ladder Operators for Quantum Systems Confined by Dihedral Angles |
| title_short |
Ladder Operators for Quantum Systems Confined by Dihedral Angles |
| title_full |
Ladder Operators for Quantum Systems Confined by Dihedral Angles |
| title_fullStr |
Ladder Operators for Quantum Systems Confined by Dihedral Angles |
| title_full_unstemmed |
Ladder Operators for Quantum Systems Confined by Dihedral Angles |
| title_sort |
ladder operators for quantum systems confined by dihedral angles |
| publisher |
Інститут математики НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148423 |
| citation_txt |
Ladder Operators for Quantum Systems Confined by Dihedral Angles / E. Ley-Koo, G.-H. Sun // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 24 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT leykooe ladderoperatorsforquantumsystemsconfinedbydihedralangles AT sungh ladderoperatorsforquantumsystemsconfinedbydihedralangles |
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2023-05-20T17:30:40Z |
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2023-05-20T17:30:40Z |
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1796153464931221504 |