Ladder Operators for Quantum Systems Confined by Dihedral Angles
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Ladder Operators for Quantum Systems Confined by Dihedral Angles
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| Creator |
Ley-Koo, E.
Sun, G.-H. |
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| 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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| Date |
2019-02-18T12:13:25Z
2019-02-18T12:13:25Z 2012 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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