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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2012 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2012
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/148423 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862681480151433216 |
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| author | Ley-Koo, E. Sun, G.-H. |
| author_facet | Ley-Koo, E. Sun, G.-H. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T15:50:20Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148423 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:50:20Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ley-Koo, E. Sun, G.-H. 2019-02-18T12:13:25Z 2019-02-18T12:13:25Z 2012 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 https://nasplib.isofts.kiev.ua/handle/123456789/148423 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. This paper is a contribution to the Special Issue “Superintegrability, Exact Solvability, and Special Functions”. The full collection is available at http://www.emis.de/journals/SIGMA/SESSF2012.html en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Ladder Operators for Quantum Systems Confined by Dihedral Angles Article published earlier |
| spellingShingle | Ladder Operators for Quantum Systems Confined by Dihedral Angles Ley-Koo, E. Sun, G.-H. |
| title | 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_short | Ladder Operators for Quantum Systems Confined by Dihedral Angles |
| title_sort | ladder operators for quantum systems confined by dihedral angles |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148423 |
| work_keys_str_mv | AT leykooe ladderoperatorsforquantumsystemsconfinedbydihedralangles AT sungh ladderoperatorsforquantumsystemsconfinedbydihedralangles |