Revisiting the Symmetries of the Quantum Smorodinsky-Winternitz System in D Dimensions
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Revisiting the Symmetries of the Quantum Smorodinsky-Winternitz System in D Dimensions
|
|
| Creator |
Quesne, C.
|
|
| Description |
The D-dimensional Smorodinsky-Winternitz system, proposed some years ago by Evans, is re-examined from an algebraic viewpoint. It is shown to possess a potential algebra, as well as a dynamical potential one, in addition to its known symmetry and dynamical algebras. The first two are obtained in hyperspherical coordinates by introducing D auxiliary continuous variables and by reducing a 2D-dimensional harmonic oscillator Hamiltonian. The su(2D) symmetry and w(2D)⊕s sp(4D,R) dynamical algebras of this Hamiltonian are then transformed into the searched for potential and dynamical potential algebras of the Smorodinsky-Winternitz system. The action of generators on wavefunctions is given in explicit form for D=2.
|
|
| Date |
2019-02-11T15:30:54Z
2019-02-11T15:30:54Z 2011 |
|
| Type |
Article
|
|
| Identifier |
Revisiting the Symmetries of the Quantum Smorodinsky-Winternitz System in D Dimensions / C. Quesne // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 90 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 20C35; 81R05; 81R12 DOI:10.3842/SIGMA.2011.035 http://dspace.nbuv.gov.ua/handle/123456789/146804 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|